83/7 to a mixed number

How to write 83/7 as a Mixed Number?

Answer: Fraction 83/7 as a mixed number it is 11 6/7

Since we have an improper fraction (the numerator [83] is greater than the denominator [7]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

83
/
7
=11
6
/
7

Steps to convert 83/7 to a mixed number

In order to convert our improper fraction 83/7 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 [83]. To do this we divide the numerator by the denominator:

83 ÷ 7 = 11.86 = 11

(Quotient of 11 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 [11] and multiplying it by the original denominator [7]. And then subtract the result from the original numerator [83]:

83 - (11 × 7)

=

83 - 77 = 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 [11] before it

83
/
7
=11
6
/
7

That's it! We have successfully converted the improper fraction 83/7 to the mixed number 11 6/7.

Fraction to a Mixed Number Conversion Table

FractionMixed Number
11 6/7
84/712
12 1/7
12 2/7
12 3/7
12 4/7
12 6/7
91/713
13 1/7
93/713 2/7
13 3/7
13 4/7
13 5/7
13 6/7
98/714
14 1/7
14 2/7
101/714 3/7
14 5/7
14 6/7
105/715
106/715 1/7
107/715 2/7
15 3/7
15 4/7
15 5/7
15 6/7
112/716

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 83/7 as a Mixed Number? (The answer is: 11 6/7). Enter the fraction (numerator and denominator) (e.g. '83/7') 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 83/7 as a Mixed Number?

Fraction 83/7 as a mixed number it is 11 6/7