90/7 to a mixed number
How to write 90/7 as a Mixed Number?
Since we have an improper fraction (the numerator [90] 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 90/7 to a mixed number
In order to convert our improper fraction 90/7 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 [90]. To do this we divide the numerator by the denominator:
90 ÷ 7 = 12.86 = 12
(Quotient of 12 and a remainder of 6)
2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [6].
You may also calculate a remainder by using the whole number we calculated in the first step [12] and multiplying it by the original denominator [7]. And then subtract the result from the original numerator [90]:
90 - (12 × 7)
=90 - 84 = 6
3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [6] and put it above the original denominator [7], and then put the whole number [12] before it
That's it! We have successfully converted the improper fraction 90/7 to the mixed number 12 6/7.
Related Calculations
Fraction to a Mixed Number Conversion Table
Fraction | Mixed Number |
---|---|
90/7 | 12 6/7 |
91/7 | 13 |
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 |
98/7 | 14 |
99/7 | 14 1/7 |
100/7 | 14 2/7 |
101/7 | 14 3/7 |
102/7 | 14 4/7 |
103/7 | 14 5/7 |
104/7 | 14 6/7 |
105/7 | 15 |
106/7 | 15 1/7 |
107/7 | 15 2/7 |
108/7 | 15 3/7 |
109/7 | 15 4/7 |
110/7 | 15 5/7 |
111/7 | 15 6/7 |
112/7 | 16 |
113/7 | 16 1/7 |
114/7 | 16 2/7 |
115/7 | 16 3/7 |
116/7 | 16 4/7 |
117/7 | 16 5/7 |
118/7 | 16 6/7 |
119/7 | 17 |