Let’s solve each problem step by step. To turn an improper fraction into a mixed number, we divide the top number (numerator) by the bottom number (denominator). The whole number part is how many times the denominator fits completely into the numerator. The remainder becomes the new numerator, and the denominator stays the same.
We’ll go one by one:
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1) 13 ÷ 8
8 goes into 13 once (8 × 1 = 8), remainder 5 →
1 5/8
2) 29 ÷ 5
5 × 5 = 25, remainder 4 →
5 4/5
3) 11 ÷ 7
7 × 1 = 7, remainder 4 →
1 4/7
4) 36 ÷ 7
7 × 5 = 35, remainder 1 →
5 1/7
5) 66 ÷ 8
8 × 8 = 64, remainder 2 →
8 2/8, which simplifies to
8 1/4
*(Note: We simplify fractions when possible — 2/8 = 1/4)*
6) 49 ÷ 8
8 × 6 = 48, remainder 1 →
6 1/8
7) 53 ÷ 10
10 × 5 = 50, remainder 3 →
5 3/10
8) 37 ÷ 6
6 × 6 = 36, remainder 1 →
6 1/6
9) 86 ÷ 9
9 × 9 = 81, remainder 5 →
9 5/9
10) 98 ÷ 12
12 × 8 = 96, remainder 2 →
8 2/12, simplify to
8 1/6
11) 72 ÷ 10
10 × 7 = 70, remainder 2 →
7 2/10, simplify to
7 1/5
12) 38 ÷ 6
6 × 6 = 36, remainder 2 →
6 2/6, simplify to
6 1/3
13) 84 ÷ 11
11 × 7 = 77, remainder 7 →
7 7/11
14) 40 ÷ 9
9 × 4 = 36, remainder 4 →
4 4/9
15) 52 ÷ 6
6 × 8 = 48, remainder 4 →
8 4/6, simplify to
8 2/3
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Final Answer:
1) 1 5/8
2) 5 4/5
3) 1 4/7
4) 5 1/7
5) 8 1/4
6) 6 1/8
7) 5 3/10
8) 6 1/6
9) 9 5/9
10) 8 1/6
11) 7 1/5
12) 6 1/3
13) 7 7/11
14) 4 4/9
15) 8 2/3
Parent Tip: Review the logic above to help your child master the concept of improper to mixed fractions worksheet.
