117/16 to a mixed number
How to write 117/16 as a Mixed Number?
Since we have an improper fraction (the numerator [117] is greater than the denominator [16]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):
Steps to convert 117/16 to a mixed number
In order to convert our improper fraction 117/16 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 [16] goes into the numerator [117]. To do this we divide the numerator by the denominator:
117 ÷ 16 = 7.31 = 7
(Quotient of 7 and a remainder of 5)
2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [5].
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 [16]. And then subtract the result from the original numerator [117]:
117 - (7 × 16)
=117 - 112 = 5
3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [5] and put it above the original denominator [16], and then put the whole number [7] before it
That's it! We have successfully converted the improper fraction 117/16 to the mixed number 7 5/16.
Related Calculations
See Also
- Fraction to Decimal Converter - Convert Fraction to Decimal
- Fraction Comparison Calculator - Compare two fractions and find out which is larger
- Fraction Simplifier Calculator - Simplify Fraction to its Lowest Terms
- Percent to Fraction Converter - Convert Percents to Fraction
<a href="https://calculat.io/en/number/fraction-as-a-mixed-number/117--16">What is 117/16 as a Mixed Number? - Calculatio</a>
Fraction to a Mixed Number Conversion Table
| Fraction | Mixed Number |
|---|---|
| 117/16 | 7 5/16 |
| 118/16 | 7 3/8 |
| 119/16 | 7 7/16 |
| 120/16 | 7 1/2 |
| 121/16 | 7 9/16 |
| 122/16 | 7 5/8 |
| 123/16 | 7 11/16 |
| 124/16 | 7 3/4 |
| 125/16 | 7 13/16 |
| 126/16 | 7 7/8 |
| 127/16 | 7 15/16 |
| 128/16 | 8 |
| 129/16 | 8 1/16 |
| 130/16 | 8 1/8 |
| 131/16 | 8 3/16 |
| 132/16 | 8 1/4 |
| 133/16 | 8 5/16 |
| 134/16 | 8 3/8 |
| 135/16 | 8 7/16 |
| 136/16 | 8 1/2 |
| 137/16 | 8 9/16 |
| 138/16 | 8 5/8 |
| 139/16 | 8 11/16 |
| 140/16 | 8 3/4 |
| 141/16 | 8 13/16 |
| 142/16 | 8 7/8 |
| 143/16 | 8 15/16 |
| 144/16 | 9 |
| 145/16 | 9 1/16 |
| 146/16 | 9 1/8 |