120/7 to a mixed number
Fraction to Mixed Number Converter
How to write 120/7 as a Mixed Number?
Answer
Since we have an improper fraction (the numerator [120] is greater than the denominator [7]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):
Steps to convert 120/7 to a mixed number
In order to convert our improper fraction 120/7 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 [7] goes into the numerator [120]. To do this we divide the numerator by the denominator:
120 ÷ 7 = 17.14 = 17
(Quotient of 17 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 [17] and multiplying it by the original denominator [7]. And then subtract the result from the original numerator [120]:
120 - (17 × 7)
=120 - 119 = 1
3. Get our mixed number. To complete our mixed number we need to take the new numerator from previous step [1] and put it above the original denominator [7], and then put the whole number [17] before it
That's it! We have successfully converted the improper fraction 120/7 to the mixed number 17 1/7.
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 Fractions
Fraction to Mixed Number Converter
Fraction to Mixed Number Converter
Fraction to a Mixed Number Conversion Table
| Fraction | Mixed Number |
|---|---|
| 79/7 | 11 2/7 |
| 80/7 | 11 3/7 |
| 81/7 | 11 4/7 |
| 83/7 | 11 6/7 |
| 85/7 | 12 1/7 |
| 86/7 | 12 2/7 |
| 87/7 | 12 3/7 |
| 88/7 | 12 4/7 |
| 89/7 | 12 5/7 |
| 90/7 | 12 6/7 |
| 92/7 | 13 1/7 |
| 93/7 | 13 2/7 |
| 94/7 | 13 3/7 |
| 95/7 | 13 4/7 |
| 96/7 | 13 5/7 |
| 97/7 | 13 6/7 |
| 99/7 | 14 1/7 |
| 100/7 | 14 2/7 |
| 102/7 | 14 4/7 |
| 103/7 | 14 5/7 |
| 106/7 | 15 1/7 |
| 107/7 | 15 2/7 |
| 108/7 | 15 3/7 |
| 110/7 | 15 5/7 |
| 111/7 | 15 6/7 |
| 114/7 | 16 2/7 |
| 115/7 | 16 3/7 |
| 117/7 | 16 5/7 |
| 120/7 | 17 1/7 |
| 244/7 | 34 6/7 |
FAQ
How to write 120/7 as a Mixed Number?
How do you convert 120/7 to a mixed number?
What is the difference between an improper fraction and a mixed number?
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