59/13 to a mixed number

How to write 59/13 as a Mixed Number?

Answer: Fraction 59/13 as a mixed number it is 4 7/13

Since we have an improper fraction (the numerator [59] is greater than the denominator [13]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

59
/
13
=4
7
/
13

Steps to convert 59/13 to a mixed number

In order to convert our improper fraction 59/13 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 [59]. To do this we divide the numerator by the denominator:

59 ÷ 13 = 4.54 = 4

(Quotient of 4 and a remainder of 7)

2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [7].

You may also calculate a remainder by using the whole number we calculated in the first step [4] and multiplying it by the original denominator [13]. And then subtract the result from the original numerator [59]:

59 - (4 × 13)

=

59 - 52 = 7

3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [7] and put it above the original denominator [13], and then put the whole number [4] before it

59
/
13
=4
7
/
13

That's it! We have successfully converted the improper fraction 59/13 to the mixed number 4 7/13.

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 59/13 as a Mixed Number? (The answer is: 4 7/13). Enter the fraction (numerator and denominator) (e.g. '59/13') 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
4 10/13
4 11/13
4 12/13
65/135
70/13
73/135 8/13
75/13
5 11/13
77/135 12/13
78/136
80/13
81/136 3/13
6 6/13
85/13
6 8/13
87/136 9/13
6 10/13

FAQ

How to write 59/13 as a Mixed Number?

Fraction 59/13 as a mixed number it is 4 7/13