To convert an improper fraction to a mixed number, we divide the numerator (top number) by the denominator (bottom number).
The whole number part of the mixed number is the result of the division.
The remainder becomes the new numerator.
The denominator stays the same.
Let's go through each problem step by step:
1)
5/4: 5 divided by 4 is 1 with a remainder of 1.
* Mixed Number:
1 1/4
2)
13/6: 13 divided by 6 is 2 with a remainder of 1.
* Mixed Number:
2 1/6
3)
9/4: 9 divided by 4 is 2 with a remainder of 1.
* Mixed Number:
2 1/4
4)
7/2: 7 divided by 2 is 3 with a remainder of 1.
* Mixed Number:
3 1/2
5)
25/6: 25 divided by 6 is 4 with a remainder of 1.
* Mixed Number:
4 1/6
6)
37/6: 37 divided by 6 is 6 with a remainder of 1.
* Mixed Number:
6 1/6
7)
61/10: 61 divided by 10 is 6 with a remainder of 1.
* Mixed Number:
6 1/10
8)
36/7: 36 divided by 7 is 5 with a remainder of 1.
* Mixed Number:
5 1/7
9)
81/8: 81 divided by 8 is 10 with a remainder of 1.
* Mixed Number:
10 1/8
10)
49/8: 49 divided by 8 is 6 with a remainder of 1.
* Mixed Number:
6 1/8
11)
109/12: 109 divided by 12 is 9 with a remainder of 1.
* Mixed Number:
9 1/12
12)
22/8: 22 divided by 8 is 2 with a remainder of 6.
* Mixed Number:
2 6/8 (This can be simplified to
2 3/4, but usually, just converting is enough unless simplification is asked for. I will provide the unsimplified version first as it's the direct conversion). Let's stick to the direct conversion first. 22/8 = 2 R 6 -> 2 6/8.
13)
24/9: 24 divided by 9 is 2 with a remainder of 6.
* Mixed Number:
2 6/9 (This can be simplified to
2 2/3).
14)
34/12: 34 divided by 12 is 2 with a remainder of 10.
* Mixed Number:
2 10/12 (This can be simplified to
2 5/6).
15)
17/6: 17 divided by 6 is 2 with a remainder of 5.
* Mixed Number:
2 5/6
Final Answer:
1) 1 1/4
2) 2 1/6
3) 2 1/4
4) 3 1/2
5) 4 1/6
6) 6 1/6
7) 6 1/10
8) 5 1/7
9) 10 1/8
10) 6 1/8
11) 9 1/12
12) 2 6/8 (or 2 3/4)
13) 2 6/9 (or 2 2/3)
14) 2 10/12 (or 2 5/6)
15) 2 5/6
Parent Tip: Review the logic above to help your child master the concept of change improper fractions to mixed numbers worksheet.
