120/17 to a mixed number
How to write 120/17 as a Mixed Number?
Since we have an improper fraction (the numerator [120] is greater than the denominator [17]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):
Steps to convert 120/17 to a mixed number
In order to convert our improper fraction 120/17 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 [17] goes into the numerator [120]. To do this we divide the numerator by the denominator:
120 ÷ 17 = 7.06 = 7
(Quotient of 7 and a remainder of 1)
2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [1].
You may also calculate a remainder by using the whole number we calculated in the first step [7] and multiplying it by the original denominator [17]. And then subtract the result from the original numerator [120]:
120 - (7 × 17)
=120 - 119 = 1
3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [1] and put it above the original denominator [17], and then put the whole number [7] before it
That's it! We have successfully converted the improper fraction 120/17 to the mixed number 7 1/17.
Related Calculations
<a href="https://calculat.io/en/number/fraction-as-a-mixed-number/120--17">What is 120/17 as a Mixed Number? - Calculatio</a>
Fraction to a Mixed Number Conversion Table
| Fraction | Mixed Number |
|---|---|
| 120/17 | 7 1/17 |
| 121/17 | 7 2/17 |
| 122/17 | 7 3/17 |
| 123/17 | 7 4/17 |
| 124/17 | 7 5/17 |
| 125/17 | 7 6/17 |
| 126/17 | 7 7/17 |
| 127/17 | 7 8/17 |
| 128/17 | 7 9/17 |
| 129/17 | 7 10/17 |
| 130/17 | 7 11/17 |
| 131/17 | 7 12/17 |
| 132/17 | 7 13/17 |
| 133/17 | 7 14/17 |
| 134/17 | 7 15/17 |
| 135/17 | 7 16/17 |
| 136/17 | 8 |
| 137/17 | 8 1/17 |
| 138/17 | 8 2/17 |
| 139/17 | 8 3/17 |
| 140/17 | 8 4/17 |
| 141/17 | 8 5/17 |
| 142/17 | 8 6/17 |
| 143/17 | 8 7/17 |
| 144/17 | 8 8/17 |
| 145/17 | 8 9/17 |
| 146/17 | 8 10/17 |
| 147/17 | 8 11/17 |
| 148/17 | 8 12/17 |
| 149/17 | 8 13/17 |