To convert an improper fraction to a mixed number, you divide the numerator (top number) by the denominator (bottom number).
1. The whole number part is the answer to the division.
2. The remainder becomes the new numerator.
3. The denominator stays the same.
4. Simplify the fraction part if possible.
Here are the step-by-step solutions for each problem:
1)
15/4: 15 ÷ 4 = 3 with a remainder of 3. Answer:
3 3/4
2)
17/6: 17 ÷ 6 = 2 with a remainder of 5. Answer:
2 5/6
3)
13/2: 13 ÷ 2 = 6 with a remainder of 1. Answer:
6 1/2
4)
19/5: 19 ÷ 5 = 3 with a remainder of 4. Answer:
3 4/5
5)
24/6: 24 6 = 4 with no remainder. Answer:
4
6)
26/5: 26 ÷ 5 = 5 with a remainder of 1. Answer:
5 1/5
7)
33/7: 33 ÷ 7 = 4 with a remainder of 5. Answer:
4 5/7
8)
28/8: 28 ÷ 8 = 3 with a remainder of 4. Fraction is 4/8, which simplifies to 1/2. Answer:
3 1/2
9)
26/4: 26 ÷ 4 = 6 with a remainder of 2. Fraction is 2/4, which simplifies to 1/2. Answer:
6 1/2
10)
34/9: 34 ÷ 9 = 3 with a remainder of 7. Answer:
3 7/9
11)
39/10: 39 ÷ 10 = 3 with a remainder of 9. Answer:
3 9/10
12)
38/3: 38 ÷ 3 = 12 with a remainder of 2. Answer:
12 2/3
13)
44/8: 44 ÷ 8 = 5 with a remainder of 4. Fraction is 4/8, which simplifies to 1/2. Answer:
5 1/2
14)
50/6: 50 6 = 8 with a remainder of 2. Fraction is 2/6, which simplifies to 1/3. Answer:
8 1/3
15)
51/4: 51 ÷ 4 = 12 with a remainder of 3. Answer:
12 3/4
16)
49/7: 49 ÷ 7 = 7 with no remainder. Answer:
7
17)
53/6: 53 ÷ 6 = 8 with a remainder of 5. Answer:
8 5/6
18)
62/10: 62 ÷ 10 = 6 with a remainder of 2. Fraction is 2/10, which simplifies to 1/5. Answer:
6 1/5
19)
56/9: 56 ÷ 9 = 6 with a remainder of 2. Answer:
6 2/9
20)
67/11: 67 ÷ 11 = 6 with a remainder of 1. Answer:
6 1/11
21)
58/12: 58 ÷ 12 = 4 with a remainder of 10. Fraction is 10/12, which simplifies to 5/6. Answer:
4 5/6
22)
67/9: 67 ÷ 9 = 7 with a remainder of 4. Answer:
7 4/9
23)
73/8: 73 ÷ 8 = 9 with a remainder of 1. Answer:
9 1/8
24)
56/4: 56 ÷ 4 = 14 with no remainder. Answer:
14
25)
84/3: 84 ÷ 3 = 28 with no remainder. Answer:
28
26)
78/9: 78 ÷ 9 = 8 with a remainder of 6. Fraction is 6/9, which simplifies to 2/3. Answer:
8 2/3
27)
76/12: 76 ÷ 12 = 6 with a remainder of 4. Fraction is 4/12, which simplifies to 1/3. Answer:
6 1/3
28)
87/10: 87 ÷ 10 = 8 with a remainder of 7. Answer:
8 7/10
29)
79/5: 79 ÷ 5 = 15 with a remainder of 4. Answer:
15 4/5
30)
93/12: 93 ÷ 12 = 7 with a remainder of 9. Fraction is 9/12, which simplifies to 3/4. Answer:
7 3/4
31)
87/9: 87 ÷ 9 = 9 with a remainder of 6. Fraction is 6/9, which simplifies to 2/3. Answer:
9 2/3
32)
98/15: 98 ÷ 15 = 6 with a remainder of 8. Answer:
6 8/15
Final Answer:
1) 3 3/4
2) 2 5/6
3) 6 1/2
4) 3 4/5
5) 4
6) 5 1/5
7) 4 5/7
8) 3 1/2
9) 6 1/2
10) 3 7/9
11) 3 9/10
12) 12 2/3
13) 5 1/2
14) 8 1/3
15) 12 3/4
16) 7
17) 8 5/6
18) 6 1/5
19) 6 2/9
20) 6 1/11
21) 4 5/6
22) 7 4/9
23) 9 1/8
24) 14
25) 28
26) 8 2/3
27) 6 1/3
28) 8 7/10
29) 15 4/5
30) 7 3/4
31) 9 2/3
32) 6 8/15
Parent Tip: Review the logic above to help your child master the concept of mixed number and improper fraction worksheet.
