83/13 to a mixed number

How to write 83/13 as a Mixed Number?

Answer: Fraction 83/13 as a mixed number it is 6 5/13

Since we have an improper fraction (the numerator [83] is greater than the denominator [13]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

83
/
13
=6
5
/
13

Steps to convert 83/13 to a mixed number

In order to convert our improper fraction 83/13 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 [13] goes into the numerator [83]. To do this we divide the numerator by the denominator:

83 ÷ 13 = 6.38 = 6

(Quotient of 6 and a remainder of 5)

2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [5].

You may also calculate a remainder by using the whole number we calculated in the first step [6] and multiplying it by the original denominator [13]. And then subtract the result from the original numerator [83]:

83 - (6 × 13)

=

83 - 78 = 5

3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [5] and put it above the original denominator [13], and then put the whole number [6] before it

83
/
13
=6
5
/
13

That's it! We have successfully converted the improper fraction 83/13 to the mixed number 6 5/13.

Related Calculations

See Also

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 83/13 as a Mixed Number? (The answer is: 6 5/13). Enter the fraction (numerator and denominator) (e.g. '83/13') 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.

Fraction to a Mixed Number Conversion Table

FractionMixed Number
6 6/13
85/13
6 8/13
87/136 9/13
6 10/13
89/136 11/13
6 12/13
91/137
7 1/13
93/137 2/13
94/137 3/13
98/13
101/137 10/13
102/137 11/13
103/137 12/13
104/138
105/13
106/138 2/13
8 3/13
108/138 4/13
109/13
8 6/13
111/138 7/13
8 8/13

FAQ

How to write 83/13 as a Mixed Number?

Fraction 83/13 as a mixed number it is 6 5/13