78/7 to a mixed number
How to write 78/7 as a Mixed Number?
Since we have an improper fraction (the numerator [78] 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 78/7 to a mixed number
In order to convert our improper fraction 78/7 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 [78]. To do this we divide the numerator by the denominator:
78 ÷ 7 = 11.14 = 11
(Quotient of 11 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 [11] and multiplying it by the original denominator [7]. And then subtract the result from the original numerator [78]:
78 - (11 × 7)
=78 - 77 = 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 [7], and then put the whole number [11] before it
That's it! We have successfully converted the improper fraction 78/7 to the mixed number 11 1/7.
Fraction to a Mixed Number Conversion Table
Fraction | Mixed Number |
---|---|
78/7 | 11 1/7 |
79/7 | 11 2/7 |
80/7 | 11 3/7 |
81/7 | 11 4/7 |
82/7 | 11 5/7 |
83/7 | 11 6/7 |
84/7 | 12 |
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 |
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 |