Let’s solve each problem step by step. To change an improper fraction to a mixed number, we divide the numerator (top) by the denominator (bottom). The quotient becomes the whole number, and the remainder becomes the new numerator over the original denominator.
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1) 7 ÷ 5 = 1 R2 → 1 2/5
2) 10 ÷ 3 = 3 R1 → 3 1/3
3) 67 ÷ 11 = 6 R1 → 6 1/11
*(11 × 6 = 66; 67 - 66 = 1)*
4) 29 ÷ 6 = 4 R5 → 4 5/6
*(6 × 4 = 24; 29 - 24 = 5)*
5) 55 ÷ 12 = 4 R7 → 4 7/12
*(12 × 4 = 48; 55 - 48 = 7)*
6) 13 ÷ 3 = 4 R1 → 4 1/3
7) 10 ÷ 9 = 1 R1 → 1 1/9
8) 19 ÷ 8 = 2 R3 → 2 3/8
*(8 × 2 = 16; 19 - 16 = 3)*
9) 35 ÷ 8 = 4 R3 → 4 3/8
*(8 × 4 = 32; 35 - 32 = 3)*
10) 65 ÷ 12 = 5 R5 → 5 5/12
*(12 × 5 = 60; 65 - 60 = 5)*
11) 23 ÷ 5 = 4 R3 → 4 3/5
12) 47 ÷ 13 = 3 R8 → 3 8/13
*(13 × 3 = 39; 47 - 39 = 8)*
13) 26 ÷ 5 = 5 R1 → 5 1/5
14) 49 ÷ 6 = 8 R1 → 8 1/6
*(6 × 8 = 48; 49 - 48 = 1)*
15) 82 ÷ 9 = 9 R1 → 9 1/9
*(9 × 9 = 81; 82 - 81 = 1)*
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Final Answer:
1) 1 2/5
2) 3 1/3
3) 6 1/11
4) 4 5/6
5) 4 7/12
6) 4 1/3
7) 1 1/9
8) 2 3/8
9) 4 3/8
10) 5 5/12
11) 4 3/5
12) 3 8/13
13) 5 1/5
14) 8 1/6
15) 9 1/9
Parent Tip: Review the logic above to help your child master the concept of mixed number worksheet.
