Answers − Converting top heavy fractions to mixed numbers
1. 9/5 = 1 4/5
| 9 ÷ 5 = 1 with remainder of 4. | |
| The 4 becomes the numerator and the denominator is still 5 |
2. 4/3 = 1 1/3
| 4 ÷ 3 = 1 with remainder of 1. | |
| The 1 becomes the numerator and the denominator is still 3 |
3. 3/2 = 1 1/2
| 3 ÷ 2 = 1 with remainder of 1. | |
| The 1 becomes the numerator and the denominator is still 2 |
4. 7/4 = 1 3/4
| 7 ÷ 4 = 1 with remainder of 3. | |
| The 3 becomes the numerator and the denominator is still 4 |
5. 11/4 = 2 3/4
| 11 ÷ 4 = 2 with remainder of 3. | |
| The 3 becomes the numerator and the denominator is still 4 |
6. 15/6 = 2 3/6 = 2 ½
| 15 ÷ 6 = 2 with remainder of 3. | |
| The 3 becomes the numerator and the denominator is still 6 The fraction 3/6 part of the mixed number can be simplified to ½ |
Or
15/6 = 5/2 = 2 ½
| First simplify 15/6 = 5/2 | |
| 5 ÷ 2 = 2 with remainder of 1. | |
| The 1 becomes the numerator and the denominator is 2 |
7. 17/8 = 2 1/8
| 17 ÷ 8 = 2 with remainder of 1. | |
| The 1 becomes the numerator and the denominator is still 8 |
8. 18/4 = 4 2/4 = 4 ½
| 18 ÷ 4 = 4 with remainder of 2. | |
| The 2 becomes the numerator and the denominator is still 4 The fraction 2/4 part of the mixed number can be simplified to ½ |
Or
18/4 = 9/2 = 4 ½
| First simplify 18/4 = 9/2 | |
| 9 ÷ 2 = 4 with remainder of 1. | |
| The 1 becomes the numerator and the denominator is 2 |
9. 27/9 = 3
| 27 ÷ 9 = 3 |
10. 81/27 = 3
| 81 ÷ 27 = 3 |
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