78/7 to a mixed number

How to write 78/7 as a Mixed Number?

Answer: Fraction 78/7 as a mixed number it is 11 1/7

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):

78
/
7
=11
1
/
7

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

78
/
7
=11
1
/
7

That's it! We have successfully converted the improper fraction 78/7 to the mixed number 11 1/7.

See Also

Fraction to a Mixed Number Conversion Table

FractionMixed Number
11 1/7
11 2/7
11 3/7
11 4/7
82/711 5/7
83/711 6/7
84/712
12 1/7
86/712 2/7
12 3/7
12 4/7
12 6/7
91/713
92/713 1/7
93/713 2/7
94/713 3/7
13 4/7
13 5/7
97/713 6/7
98/714
14 1/7
14 2/7
101/714 3/7
14 5/7
104/714 6/7
105/715
106/715 1/7
107/715 2/7

Fraction to Mixed Number Converter

This calculator will help you to convert an Improper Fraction to a Mixed Number. For example, it can help you find out how to write 78/7 as a Mixed Number? (The answer is: 11 1/7). Enter the fraction (numerator and denominator) (e.g. '78/7') and hit the 'Convert' button.
An improper fraction is a type of fraction where the numerator is greater than or equal to the denominator. A mixed number is a combination of a whole number and a proper fraction.

FAQ

How to write 78/7 as a Mixed Number?

Fraction 78/7 as a mixed number it is 11 1/7