120/13 to a mixed number
How to write 120/13 as a Mixed Number?
Since we have an improper fraction (the numerator [120] is greater than the denominator [13]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):
Steps to convert 120/13 to a mixed number
In order to convert our improper fraction 120/13 to a mixed number, we need to follow three basic steps:
1. Find the whole number. First we need to calculate how many times the denominator [13] goes into the numerator [120]. To do this we divide the numerator by the denominator:
120 ÷ 13 = 9.23 = 9
(Quotient of 9 and a remainder of 3)
2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [3].
You may also calculate a remainder by using the whole number we calculated in the first step [9] and multiplying it by the original denominator [13]. And then subtract the result from the original numerator [120]:
120 - (9 × 13)
=120 - 117 = 3
3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [3] and put it above the original denominator [13], and then put the whole number [9] before it
That's it! We have successfully converted the improper fraction 120/13 to the mixed number 9 3/13.
Related Calculations
<a href="https://calculat.io/en/number/fraction-as-a-mixed-number/120--13">What is 120/13 as a Mixed Number? - Calculatio</a>
Fraction to a Mixed Number Conversion Table
| Fraction | Mixed Number |
|---|---|
| 120/13 | 9 3/13 |
| 121/13 | 9 4/13 |
| 122/13 | 9 5/13 |
| 123/13 | 9 6/13 |
| 124/13 | 9 7/13 |
| 125/13 | 9 8/13 |
| 126/13 | 9 9/13 |
| 127/13 | 9 10/13 |
| 128/13 | 9 11/13 |
| 129/13 | 9 12/13 |
| 130/13 | 10 |
| 131/13 | 10 1/13 |
| 132/13 | 10 2/13 |
| 133/13 | 10 3/13 |
| 134/13 | 10 4/13 |
| 135/13 | 10 5/13 |
| 136/13 | 10 6/13 |
| 137/13 | 10 7/13 |
| 138/13 | 10 8/13 |
| 139/13 | 10 9/13 |
| 140/13 | 10 10/13 |
| 141/13 | 10 11/13 |
| 142/13 | 10 12/13 |
| 143/13 | 11 |
| 144/13 | 11 1/13 |
| 145/13 | 11 2/13 |
| 146/13 | 11 3/13 |
| 147/13 | 11 4/13 |
| 148/13 | 11 5/13 |
| 149/13 | 11 6/13 |