Lesson 6.2: Sharing Quantities and Equivalent Fractions
Calculate fractions of quantities (e.g., 1/4 of 24) and recognize simple equivalent fractions (1/2 = 2/4 = 4/8).
⏱️ Reading Time: 15 mins
• ❓ 50 Interactive Practice Questions
🌟
Real-Life Story: Fractions and Equal Sharing
A teacher has 24 colored markers to distribute. She gives 1/4 of the markers to the art table. By dividing 24 by 4, she determines the art table gets 6 markers (24 ÷ 4 = 6).
💡 Core Mathematical Concepts: Sharing Quantities & Equivalent Fractions
Focus areas: Fraction of a quantity, division connection, equivalent fractions, half.
| Concept / Term | Mathematical Definition | Everyday Example |
|---|---|---|
| Fraction of a Quantity | Divide the total quantity by the denominator, then multiply by the numerator | 1/3 of 18 = 18 ÷ 3 = 6 |
| Equivalent Fractions | Different fractions that represent the exact same amount or value | 1/2 = 2/4 = 3/6 = 4/8 |
| Equal Sharing (Division) | Finding 1/n of an amount is identical to dividing that amount by n | 1/5 of 35 = 35 ÷ 5 = 7 |
| Comparing Like Fractions | When denominators are the same, the fraction with the larger numerator is greater | 3/5 > 2/5 |
🔍 Practical Classroom & Everyday Examples
Example 1: Visualizing Equivalent Fractions
Using fraction strips: two 1/4 strips equal the exact length of one 1/2 strip.
Example 2: Finding 2/3 or 3/4 of a Number
First find unit fraction (divide by bottom), then multiply by top (e.g., 3/4 of 20: 20 ÷ 4 = 5; 5 × 3 = 15).
⚠️ Watch Out! Common Mistakes to Avoid
Common Error: Adding numerators and denominators when adding like fractions
Correction: 1/4 + 2/4 = 3/4, NOT 3/8! The denominator stays unchanged.
Common Error: Multiplying instead of dividing to find a fraction of a quantity
Correction: To find 1/4 of 16, divide 16 ÷ 4 = 4.
🎯 Quick Self-Check Challenge
What is 3/4 of 28 stickers?
Answer & Explanation:
First find 1/4: 28 ÷ 4 = 7 stickers. Then multiply by 3: 7 × 3 = 21 stickers.
🎯 Key Learning Takeaways
Master Fractions and Equal Sharing fundamentals.
📄 Printable Worksheets (5 Available)
Download ready-to-print PDFs for offline student practice with separate parent/teacher answer keys.
G3-M-CH06-WS05
A4 • 15 Qs
Fractions and Equal Sharing — Worksheet 5
Unit Fractions, Sharing Quantities & Equivalences (Community Garden Planting)
G3-M-CH06-WS04
A4 • 15 Qs
Fractions and Equal Sharing — Worksheet 4
Unit Fractions, Sharing Quantities & Equivalences (Art Studio Color Pastels)
G3-M-CH06-WS03
A4 • 15 Qs
Fractions and Equal Sharing — Worksheet 3
Unit Fractions, Sharing Quantities & Equivalences (Science Lab Specimen Trays)
G3-M-CH06-WS02
A4 • 15 Qs
Fractions and Equal Sharing — Worksheet 2
Unit Fractions, Sharing Quantities & Equivalences (Orchard Fruit Harvest)
G3-M-CH06-WS01
A4 • 15 Qs
Fractions and Equal Sharing — Worksheet 1
Unit Fractions, Sharing Quantities & Equivalences (School Bakery Kitchen)
✍️ Lesson Practice Questions (50 Questions)
Solve these real-world challenges online, test your understanding, and reveal instant step-by-step explanations.
1
Short Answer
Hard
2 Marks
Three friends share a 36-piece puzzle. Alex completes 1/3 of it, Bella completes 1/4 of it, and Charlie completes the remainder. How many pieces did Charlie complete?
A
15 pieces
B
12 pieces
C
18 pieces
D
9 pieces
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
15 pieces
Step-by-Step Explanation:
Alex: 36 ÷ 3 = 12. Bella: 36 ÷ 4 = 9. Alex + Bella = 21 pieces. Charlie: 36 - 21 = 15 pieces.
2
Short Answer
Hard
2 Marks
A fruit basket contains 24 fruits: 1/2 are apples, 1/4 are bananas, and the rest are oranges. How many oranges are in the basket?
A
6 oranges
B
8 oranges
C
4 oranges
D
10 oranges
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
6 oranges
Step-by-Step Explanation:
Apples: 1/2 of 24 = 12. Bananas: 1/4 of 24 = 6. Apples + Bananas = 18. Oranges = 24 - 18 = 6 oranges.
3
Short Answer
Hard
2 Marks
If you have 1/2 of a small mini-pizza and your friend has 1/2 of a giant family pizza, do both of you have the same amount of pizza? Explain.
A
No, because the wholes are different sizes; half of a larger whole is greater than half of a smaller whole
B
Yes, because 1/2 is always equal to 1/2
C
Yes, all pizzas have equal mass
D
No, because pizzas cannot be halved
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
No, because the wholes are different sizes; half of a larger whole is greater than half of a smaller whole
Step-by-Step Explanation:
The value of a fraction depends on the size of the whole it refers to.
4
Short Answer
Hard
2 Marks
Why is 2/4 of a chocolate bar exactly equal to 1/2 of the same chocolate bar?
A
Because 2 out of 4 equal parts covers the exact same area and amount as 1 out of 2 equal parts
B
Because 2 + 4 = 6
C
Because chocolate bars are rectangles
D
Only when the chocolate is melted
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Because 2 out of 4 equal parts covers the exact same area and amount as 1 out of 2 equal parts
Step-by-Step Explanation:
Both fractions represent half of the total area.
5
Short Answer
Medium
1 Mark
A student claims: '1/8 is bigger than 1/4 because 8 is bigger than 4.' Why is this claim incorrect?
A
As the denominator gets larger, the whole is divided into more pieces, making each piece SMALLER; 1/4 is bigger than 1/8
B
1/8 and 1/4 are equal
C
1/8 is an improper fraction
D
Denominators cannot be compared
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
As the denominator gets larger, the whole is divided into more pieces, making each piece SMALLER; 1/4 is bigger than 1/8
Step-by-Step Explanation:
Dividing a pizza into 8 slices yields smaller slices than dividing the same pizza into 4 slices.
6
Short Answer
Medium
1 Mark
Leo cuts a circle into 3 pieces of different sizes and says: 'Each piece is 1/3 of the circle.' What is Leo's mistake?
A
Fractions only represent EQUAL parts; if the pieces are different sizes, they are not thirds
B
Circles cannot be divided into 3 pieces
C
Each piece is 1/4
D
Leo is correct
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Fractions only represent EQUAL parts; if the pieces are different sizes, they are not thirds
Step-by-Step Explanation:
Fractions strictly require equal partitioning of the whole.
7
Fill in the Blanks
Medium
1 Mark
Find the missing fraction: 2/7 + [ ? ] = 7/7 (one whole)
A
5/7
B
4/7
C
6/7
D
3/7
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
5/7
Step-by-Step Explanation:
7/7 - 2/7 = 5/7.
8
Fill in the Blanks
Medium
1 Mark
Complete the equivalent fraction: 1/3 = [ ? ] / 9
A
3
B
2
C
6
D
4
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
3
Step-by-Step Explanation:
Multiply numerator and denominator by 3: 1 × 3 = 3, so 1/3 = 3/9.
9
Short Answer
Medium
1 Mark
In a classroom of 30 students, 2/3 of the students walk to school. How many students walk to school?
A
20 students
B
15 students
C
10 students
D
25 students
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
20 students
Step-by-Step Explanation:
1/3 of 30 = 10. 2/3 of 30 = 10 × 2 = 20 students.
10
Short Answer
Medium
1 Mark
A baker bakes 20 cookies. If children eat 1/4 of the cookies at recess, how many cookies did they eat?
A
5 cookies
B
4 cookies
C
6 cookies
D
8 cookies
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
5 cookies
Step-by-Step Explanation:
20 ÷ 4 = 5 cookies.
11
Short Answer
Medium
1 Mark
At the Community Garden Planting, an organizer shares 48 items equally among 8 workshop tables. What fraction of the total items does each table receive?
A
1/8
B
8/1
C
1/2
D
1/10
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
1/8
Step-by-Step Explanation:
Each table receives 1 part out of 8 equal parts = 1/8.
12
Multiple Choice
Easy
1 Mark
Which fraction is larger: 3/7 or 5/7?
A
5/7
B
3/7
C
Both are equal
D
1/7
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
5/7
Step-by-Step Explanation:
When denominators are the same, the larger numerator represents the greater fraction: 5/7 > 3/7.
13
Multiple Choice
Easy
1 Mark
Which fraction is EQUIVALENT to 1/2?
A
2/4
B
2/5
C
1/3
D
3/8
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
2/4
Step-by-Step Explanation:
1/2 = 2/4 (multiplying top and bottom by 2).
14
Multiple Choice
Easy
1 Mark
Calculate 1/8 of 48 items:
A
6
B
5
C
8
D
12
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
6
Step-by-Step Explanation:
48 ÷ 8 = 6.
15
Multiple Choice
Easy
1 Mark
Which fraction represents three parts shaded out of 4 equal parts?
A
3/4
B
4/3
C
1/4
D
3/1
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
3/4
Step-by-Step Explanation:
Numerator is 3 (shaded parts), denominator is 4 (total parts): 3/4.
16
Short Answer
Hard
2 Marks
Three friends share a 36-piece puzzle. Alex completes 1/3 of it, Bella completes 1/4 of it, and Charlie completes the remainder. How many pieces did Charlie complete?
A
15 pieces
B
12 pieces
C
18 pieces
D
9 pieces
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
15 pieces
Step-by-Step Explanation:
Alex: 36 ÷ 3 = 12. Bella: 36 ÷ 4 = 9. Alex + Bella = 21 pieces. Charlie: 36 - 21 = 15 pieces.
17
Short Answer
Hard
2 Marks
A fruit basket contains 24 fruits: 1/2 are apples, 1/4 are bananas, and the rest are oranges. How many oranges are in the basket?
A
6 oranges
B
8 oranges
C
4 oranges
D
10 oranges
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
6 oranges
Step-by-Step Explanation:
Apples: 1/2 of 24 = 12. Bananas: 1/4 of 24 = 6. Apples + Bananas = 18. Oranges = 24 - 18 = 6 oranges.
18
Short Answer
Hard
2 Marks
If you have 1/2 of a small mini-pizza and your friend has 1/2 of a giant family pizza, do both of you have the same amount of pizza? Explain.
A
No, because the wholes are different sizes; half of a larger whole is greater than half of a smaller whole
B
Yes, because 1/2 is always equal to 1/2
C
Yes, all pizzas have equal mass
D
No, because pizzas cannot be halved
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
No, because the wholes are different sizes; half of a larger whole is greater than half of a smaller whole
Step-by-Step Explanation:
The value of a fraction depends on the size of the whole it refers to.
19
Short Answer
Hard
2 Marks
Why is 2/4 of a chocolate bar exactly equal to 1/2 of the same chocolate bar?
A
Because 2 out of 4 equal parts covers the exact same area and amount as 1 out of 2 equal parts
B
Because 2 + 4 = 6
C
Because chocolate bars are rectangles
D
Only when the chocolate is melted
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Because 2 out of 4 equal parts covers the exact same area and amount as 1 out of 2 equal parts
Step-by-Step Explanation:
Both fractions represent half of the total area.
20
Short Answer
Medium
1 Mark
A student claims: '1/8 is bigger than 1/4 because 8 is bigger than 4.' Why is this claim incorrect?
A
As the denominator gets larger, the whole is divided into more pieces, making each piece SMALLER; 1/4 is bigger than 1/8
B
1/8 and 1/4 are equal
C
1/8 is an improper fraction
D
Denominators cannot be compared
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
As the denominator gets larger, the whole is divided into more pieces, making each piece SMALLER; 1/4 is bigger than 1/8
Step-by-Step Explanation:
Dividing a pizza into 8 slices yields smaller slices than dividing the same pizza into 4 slices.
21
Short Answer
Medium
1 Mark
Leo cuts a circle into 3 pieces of different sizes and says: 'Each piece is 1/3 of the circle.' What is Leo's mistake?
A
Fractions only represent EQUAL parts; if the pieces are different sizes, they are not thirds
B
Circles cannot be divided into 3 pieces
C
Each piece is 1/4
D
Leo is correct
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Fractions only represent EQUAL parts; if the pieces are different sizes, they are not thirds
Step-by-Step Explanation:
Fractions strictly require equal partitioning of the whole.
22
Fill in the Blanks
Medium
1 Mark
Find the missing fraction: 2/7 + [ ? ] = 7/7 (one whole)
A
5/7
B
4/7
C
6/7
D
3/7
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
5/7
Step-by-Step Explanation:
7/7 - 2/7 = 5/7.
23
Fill in the Blanks
Medium
1 Mark
Complete the equivalent fraction: 1/3 = [ ? ] / 9
A
3
B
2
C
6
D
4
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
3
Step-by-Step Explanation:
Multiply numerator and denominator by 3: 1 × 3 = 3, so 1/3 = 3/9.
24
Short Answer
Medium
1 Mark
In a classroom of 30 students, 2/3 of the students walk to school. How many students walk to school?
A
20 students
B
15 students
C
10 students
D
25 students
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
20 students
Step-by-Step Explanation:
1/3 of 30 = 10. 2/3 of 30 = 10 × 2 = 20 students.
25
Short Answer
Medium
1 Mark
A baker bakes 20 cookies. If children eat 1/4 of the cookies at recess, how many cookies did they eat?
A
5 cookies
B
4 cookies
C
6 cookies
D
8 cookies
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
5 cookies
Step-by-Step Explanation:
20 ÷ 4 = 5 cookies.
26
Short Answer
Medium
1 Mark
At the Art Studio Color Pastels, an organizer shares 32 items equally among 4 workshop tables. What fraction of the total items does each table receive?
A
1/4
B
4/1
C
1/2
D
1/10
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
1/4
Step-by-Step Explanation:
Each table receives 1 part out of 4 equal parts = 1/4.
27
Multiple Choice
Easy
1 Mark
Which fraction is larger: 3/7 or 5/7?
A
5/7
B
3/7
C
Both are equal
D
1/7
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
5/7
Step-by-Step Explanation:
When denominators are the same, the larger numerator represents the greater fraction: 5/7 > 3/7.
28
Multiple Choice
Easy
1 Mark
Which fraction is EQUIVALENT to 1/2?
A
2/4
B
2/5
C
1/3
D
3/8
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
2/4
Step-by-Step Explanation:
1/2 = 2/4 (multiplying top and bottom by 2).
29
Multiple Choice
Easy
1 Mark
Calculate 1/4 of 32 items:
A
8
B
7
C
10
D
16
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
8
Step-by-Step Explanation:
32 ÷ 4 = 8.
30
Multiple Choice
Easy
1 Mark
Which fraction represents three parts shaded out of 4 equal parts?
A
3/4
B
4/3
C
1/4
D
3/1
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
3/4
Step-by-Step Explanation:
Numerator is 3 (shaded parts), denominator is 4 (total parts): 3/4.
31
Short Answer
Hard
2 Marks
Three friends share a 36-piece puzzle. Alex completes 1/3 of it, Bella completes 1/4 of it, and Charlie completes the remainder. How many pieces did Charlie complete?
A
15 pieces
B
12 pieces
C
18 pieces
D
9 pieces
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
15 pieces
Step-by-Step Explanation:
Alex: 36 ÷ 3 = 12. Bella: 36 ÷ 4 = 9. Alex + Bella = 21 pieces. Charlie: 36 - 21 = 15 pieces.
32
Short Answer
Hard
2 Marks
A fruit basket contains 24 fruits: 1/2 are apples, 1/4 are bananas, and the rest are oranges. How many oranges are in the basket?
A
6 oranges
B
8 oranges
C
4 oranges
D
10 oranges
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
6 oranges
Step-by-Step Explanation:
Apples: 1/2 of 24 = 12. Bananas: 1/4 of 24 = 6. Apples + Bananas = 18. Oranges = 24 - 18 = 6 oranges.
33
Short Answer
Hard
2 Marks
If you have 1/2 of a small mini-pizza and your friend has 1/2 of a giant family pizza, do both of you have the same amount of pizza? Explain.
A
No, because the wholes are different sizes; half of a larger whole is greater than half of a smaller whole
B
Yes, because 1/2 is always equal to 1/2
C
Yes, all pizzas have equal mass
D
No, because pizzas cannot be halved
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
No, because the wholes are different sizes; half of a larger whole is greater than half of a smaller whole
Step-by-Step Explanation:
The value of a fraction depends on the size of the whole it refers to.
34
Short Answer
Hard
2 Marks
Why is 2/4 of a chocolate bar exactly equal to 1/2 of the same chocolate bar?
A
Because 2 out of 4 equal parts covers the exact same area and amount as 1 out of 2 equal parts
B
Because 2 + 4 = 6
C
Because chocolate bars are rectangles
D
Only when the chocolate is melted
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Because 2 out of 4 equal parts covers the exact same area and amount as 1 out of 2 equal parts
Step-by-Step Explanation:
Both fractions represent half of the total area.
35
Short Answer
Medium
1 Mark
A student claims: '1/8 is bigger than 1/4 because 8 is bigger than 4.' Why is this claim incorrect?
A
As the denominator gets larger, the whole is divided into more pieces, making each piece SMALLER; 1/4 is bigger than 1/8
B
1/8 and 1/4 are equal
C
1/8 is an improper fraction
D
Denominators cannot be compared
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
As the denominator gets larger, the whole is divided into more pieces, making each piece SMALLER; 1/4 is bigger than 1/8
Step-by-Step Explanation:
Dividing a pizza into 8 slices yields smaller slices than dividing the same pizza into 4 slices.
36
Short Answer
Medium
1 Mark
Leo cuts a circle into 3 pieces of different sizes and says: 'Each piece is 1/3 of the circle.' What is Leo's mistake?
A
Fractions only represent EQUAL parts; if the pieces are different sizes, they are not thirds
B
Circles cannot be divided into 3 pieces
C
Each piece is 1/4
D
Leo is correct
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Fractions only represent EQUAL parts; if the pieces are different sizes, they are not thirds
Step-by-Step Explanation:
Fractions strictly require equal partitioning of the whole.
37
Fill in the Blanks
Medium
1 Mark
Find the missing fraction: 2/7 + [ ? ] = 7/7 (one whole)
A
5/7
B
4/7
C
6/7
D
3/7
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
5/7
Step-by-Step Explanation:
7/7 - 2/7 = 5/7.
38
Fill in the Blanks
Medium
1 Mark
Complete the equivalent fraction: 1/3 = [ ? ] / 9
A
3
B
2
C
6
D
4
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
3
Step-by-Step Explanation:
Multiply numerator and denominator by 3: 1 × 3 = 3, so 1/3 = 3/9.
39
Short Answer
Medium
1 Mark
In a classroom of 30 students, 2/3 of the students walk to school. How many students walk to school?
A
20 students
B
15 students
C
10 students
D
25 students
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
20 students
Step-by-Step Explanation:
1/3 of 30 = 10. 2/3 of 30 = 10 × 2 = 20 students.
40
Short Answer
Medium
1 Mark
A baker bakes 20 cookies. If children eat 1/4 of the cookies at recess, how many cookies did they eat?
A
5 cookies
B
4 cookies
C
6 cookies
D
8 cookies
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
5 cookies
Step-by-Step Explanation:
20 ÷ 4 = 5 cookies.
41
Short Answer
Medium
1 Mark
At the Science Lab Specimen Trays, an organizer shares 40 items equally among 5 workshop tables. What fraction of the total items does each table receive?
A
1/5
B
5/1
C
1/2
D
1/10
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
1/5
Step-by-Step Explanation:
Each table receives 1 part out of 5 equal parts = 1/5.
42
Multiple Choice
Easy
1 Mark
Which fraction is larger: 3/7 or 5/7?
A
5/7
B
3/7
C
Both are equal
D
1/7
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
5/7
Step-by-Step Explanation:
When denominators are the same, the larger numerator represents the greater fraction: 5/7 > 3/7.
43
Multiple Choice
Easy
1 Mark
Which fraction is EQUIVALENT to 1/2?
A
2/4
B
2/5
C
1/3
D
3/8
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
2/4
Step-by-Step Explanation:
1/2 = 2/4 (multiplying top and bottom by 2).
44
Multiple Choice
Easy
1 Mark
Calculate 1/5 of 40 items:
A
8
B
7
C
10
D
16
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
8
Step-by-Step Explanation:
40 ÷ 5 = 8.
45
Multiple Choice
Easy
1 Mark
Which fraction represents three parts shaded out of 4 equal parts?
A
3/4
B
4/3
C
1/4
D
3/1
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
3/4
Step-by-Step Explanation:
Numerator is 3 (shaded parts), denominator is 4 (total parts): 3/4.
46
Short Answer
Hard
2 Marks
Three friends share a 36-piece puzzle. Alex completes 1/3 of it, Bella completes 1/4 of it, and Charlie completes the remainder. How many pieces did Charlie complete?
A
15 pieces
B
12 pieces
C
18 pieces
D
9 pieces
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
15 pieces
Step-by-Step Explanation:
Alex: 36 ÷ 3 = 12. Bella: 36 ÷ 4 = 9. Alex + Bella = 21 pieces. Charlie: 36 - 21 = 15 pieces.
47
Short Answer
Hard
2 Marks
A fruit basket contains 24 fruits: 1/2 are apples, 1/4 are bananas, and the rest are oranges. How many oranges are in the basket?
A
6 oranges
B
8 oranges
C
4 oranges
D
10 oranges
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
6 oranges
Step-by-Step Explanation:
Apples: 1/2 of 24 = 12. Bananas: 1/4 of 24 = 6. Apples + Bananas = 18. Oranges = 24 - 18 = 6 oranges.
48
Short Answer
Hard
2 Marks
If you have 1/2 of a small mini-pizza and your friend has 1/2 of a giant family pizza, do both of you have the same amount of pizza? Explain.
A
No, because the wholes are different sizes; half of a larger whole is greater than half of a smaller whole
B
Yes, because 1/2 is always equal to 1/2
C
Yes, all pizzas have equal mass
D
No, because pizzas cannot be halved
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
No, because the wholes are different sizes; half of a larger whole is greater than half of a smaller whole
Step-by-Step Explanation:
The value of a fraction depends on the size of the whole it refers to.
49
Short Answer
Hard
2 Marks
Why is 2/4 of a chocolate bar exactly equal to 1/2 of the same chocolate bar?
A
Because 2 out of 4 equal parts covers the exact same area and amount as 1 out of 2 equal parts
B
Because 2 + 4 = 6
C
Because chocolate bars are rectangles
D
Only when the chocolate is melted
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Because 2 out of 4 equal parts covers the exact same area and amount as 1 out of 2 equal parts
Step-by-Step Explanation:
Both fractions represent half of the total area.
50
Short Answer
Medium
1 Mark
A student claims: '1/8 is bigger than 1/4 because 8 is bigger than 4.' Why is this claim incorrect?
A
As the denominator gets larger, the whole is divided into more pieces, making each piece SMALLER; 1/4 is bigger than 1/8
B
1/8 and 1/4 are equal
C
1/8 is an improper fraction
D
Denominators cannot be compared
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
As the denominator gets larger, the whole is divided into more pieces, making each piece SMALLER; 1/4 is bigger than 1/8
Step-by-Step Explanation:
Dividing a pizza into 8 slices yields smaller slices than dividing the same pizza into 4 slices.