To convert an improper fraction to a mixed number, we divide the numerator (top number) by the denominator (bottom number). The result of the division becomes the whole number part. Any remainder becomes the new numerator over the original denominator.
Let’s go through each problem step by step:
1) 7 ÷ 3 = 2 with remainder 1 → 2 and 1/3
2) 36 ÷ 7 = 5 with remainder 1 → 5 and 1/7
3) 44 ÷ 10 = 4 with remainder 4 → 4 and 4/10 → simplify to 4 and 2/5
4) 59 ÷ 8 = 7 with remainder 3 → 7 and 3/8
5) 13 ÷ 2 = 6 with remainder 1 → 6 and 1/2
6) 27 ÷ 6 = 4 with remainder 3 → 4 and 3/6 → simplify to 4 and 1/2
7) 56 ÷ 9 = 6 with remainder 2 → 6 and 2/9
8) 58 ÷ 9 = 6 with remainder 4 → 6 and 4/9
9) 11 ÷ 4 = 2 with remainder 3 → 2 and 3/4
10) 44 ÷ 6 = 7 with remainder 2 → 7 and 2/6 → simplify to 7 and 1/3
11) 11 ÷ 2 = 5 with remainder 1 → 5 and 1/2
12) 18 ÷ 7 = 2 with remainder 4 → 2 and 4/7
13) 17 ÷ 4 = 4 with remainder 1 → 4 and 1/4
14) 26 ÷ 5 = 5 with remainder 1 → 5 and 1/5
15) 20 ÷ 7 = 2 with remainder 6 → 2 and 6/7
All calculations checked — remainders are correct, simplifications done where needed.
Final Answer:
1) 2 1/3
2) 5 1/7
3) 4 2/5
4) 7 3/8
5) 6 1/2
6) 4 1/2
7) 6 2/9
8) 6 4/9
9) 2 3/4
10) 7 1/3
11) 5 1/2
12) 2 4/7
13) 4 1/4
14) 5 1/5
15) 2 6/7
Parent Tip: Review the logic above to help your child master the concept of changing improper fractions to mixed numbers worksheet.