5th Grade Fractions Worksheets - Math Monks - Free Printable

Let’s solve each problem step by step.

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Part 1: Convert improper fractions to mixed numbers

To convert an improper fraction to a mixed number:
- Divide the numerator by the denominator.
- The quotient is the whole number part.
- The remainder becomes the new numerator over the original denominator.

Let’s go one by one:

① 11 ÷ 5 = 2 with remainder 1 → 2 1/5

② 25 ÷ 4 = 6 with remainder 1 → 6 1/4

③ 22 ÷ 6 = 3 with remainder 4 → but 4/6 can be simplified to 2/3 → 3 2/3

④ 37 ÷ 7 = 5 with remainder 2 → 5 2/7

⑤ 13 ÷ 4 = 3 with remainder 1 → 3 1/4

⑥ 29 ÷ 5 = 5 with remainder 4 → 5 4/5

⑦ 35 ÷ 8 = 4 with remainder 3 → 4 3/8

⑧ 58 ÷ 9 = 6 with remainder 4 → 6 4/9

⑨ 43 ÷ 7 = 6 with remainder 1 → 6 1/7

⑩ 27 ÷ 10 = 2 with remainder 7 → 2 7/10

⑪ 38 ÷ 12 = 3 with remainder 2 → 2/12 simplifies to 1/6 → 3 1/6

⑫ 19 ÷ 5 = 3 with remainder 4 → 3 4/5

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Part 2: Complete the equivalent fractions

Equivalent fractions mean multiplying or dividing both numerator and denominator by the same number.

① 2/5 = 6/?
→ 2 × 3 = 6, so 5 × 3 = 15 → 15

② 4/9 = 16/?
→ 4 × 4 = 16, so 9 × 4 = 36 → 36

③ 5/11 = ?/88
→ 11 × 8 = 88, so 5 × 8 = 40 → 40

④ 3/5 = 12/?
→ 3 × 4 = 12, so 5 × 4 = 20 → 20

⑤ 2/5 = 4/?
→ 2 × 2 = 4, so 5 × 2 = 10 → 10

⑥ 6/18 = ?/3
→ Simplify 6/18 first: divide top and bottom by 6 → 1/3 → so ? = 1

⑦ 2/8 = 6/?
→ 2 × 3 = 6, so 8 × 3 = 24 → 24

⑧ ?/6 = 20/24
→ Simplify 20/24: divide by 4 → 5/6 → so ? = 5

⑨ 1/? = 6/30
→ Simplify 6/30: divide by 6 → 1/5 → so ? = 5

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Final Answer:

Convert to mixed numbers:

① 2 1/5
② 6 1/4
③ 3 2/3
④ 5 2/7
⑤ 3 1/4
⑥ 5 4/5
⑦ 4 3/8
⑧ 6 4/9
⑨ 6 1/7
⑩ 2 7/10
⑪ 3 1/6
⑫ 3 4/5

Complete equivalent fractions:

① 15
② 36
③ 40
④ 20
⑤ 10
⑥ 1
⑦ 24
⑧ 5
⑨ 5