Curriculum›4A›Chapter 6

Practice A: Fractions

Chapter 6 · Consolidation 1

Mixed consolidation. Attempt problems independently before revealing the solutions.

Question 1 · equivalence

Complete an equivalent fraction: 1/2 = ?/4.

Show answer & reasoning
2

The denominator was multiplied by 2, so the numerator must also be multiplied by 2.

Question 2 · ordering

Order these fractions from least to greatest: 1/8, 1/3, 2/4.

Show answer & reasoning
1/8, 1/3, 2/4

Rename all three fractions using a common denominator, then compare numerators for equal-size parts.

Question 3 · conversion

Write 22/4 as a mixed number in simplest form.

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5 1/2

22 ÷ 4 gives 5 full wholes and 2 remaining parts of size 1/4. Simplify the fractional part to obtain 5 1/2.

Question 4 · conversion

Write 3/2 as a mixed number in simplest form.

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1 1/2

3 ÷ 2 gives 1 full wholes and 1 remaining parts of size 1/2. Simplify the fractional part to obtain 1 1/2.

Question 5 · calculation

Write 5 4/6 as an improper fraction.

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34/6

Each whole has 6 parts. 5 wholes and 4 more parts make 34 parts.

Question 6 · sharing

2 identical pies are shared equally among 5 children. What fraction of one pie does each child get?

Show answer & reasoning
2/5

Divide 2 equal wholes into 5 shares: each gets 2/5 of a pie, equivalent to 2/5.

Question 7 · equivalence

Complete an equivalent fraction: 5/6 = ?/24.

Show answer & reasoning
20

The denominator was multiplied by 4, so the numerator must also be multiplied by 4.

Question 8 · ordering

Order these fractions from least to greatest: 3/4, 4/8, 5/6.

Show answer & reasoning
4/8, 3/4, 5/6

Rename all three fractions using a common denominator, then compare numerators for equal-size parts.

Question 9 · conversion

Write 7/2 as a mixed number in simplest form.

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3 1/2

7 ÷ 2 gives 3 full wholes and 1 remaining parts of size 1/2. Simplify the fractional part to obtain 3 1/2.

Question 10 · conversion

Write 9/4 as a mixed number in simplest form.

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2 1/4

9 ÷ 4 gives 2 full wholes and 1 remaining parts of size 1/4. Simplify the fractional part to obtain 2 1/4.

Question 11 · calculation

Write 3 9/10 as an improper fraction.

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39/10

Each whole has 10 parts. 3 wholes and 9 more parts make 39 parts.

Question 12 · sharing

3 identical pies are shared equally among 2 children. What fraction of one pie does each child get?

Show answer & reasoning
3/2

Divide 3 equal wholes into 2 shares: each gets 3/2 of a pie, equivalent to 3/2.

Question 13 · equivalence

Complete an equivalent fraction: 2/5 = ?/25.

Show answer & reasoning
10

The denominator was multiplied by 5, so the numerator must also be multiplied by 5.

Question 14 · ordering

Order these fractions from least to greatest: 1/8, 2/6, 4/10.

Show answer & reasoning
1/8, 2/6, 4/10

Rename all three fractions using a common denominator, then compare numerators for equal-size parts.

Question 15 · conversion

Write 25/8 as a mixed number in simplest form.

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3 1/8

25 ÷ 8 gives 3 full wholes and 1 remaining parts of size 1/8. Simplify the fractional part to obtain 3 1/8.

Question 16 · conversion

Write 58/10 as a mixed number in simplest form.

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5 4/5

58 ÷ 10 gives 5 full wholes and 8 remaining parts of size 1/10. Simplify the fractional part to obtain 5 4/5.

Question 17 · calculation

Write 2 1/10 as an improper fraction.

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21/10

Each whole has 10 parts. 2 wholes and 1 more parts make 21 parts.

Question 18 · sharing

9 identical pies are shared equally among 8 children. What fraction of one pie does each child get?

Show answer & reasoning
9/8

Divide 9 equal wholes into 8 shares: each gets 9/8 of a pie, equivalent to 9/8.