59/36 to a mixed number

How to write 59/36 as a Mixed Number?

Answer: Fraction 59/36 as a mixed number it is 1 23/36

Since we have an improper fraction (the numerator [59] is greater than the denominator [36]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

59
/
36
=1
23
/
36

Steps to convert 59/36 to a mixed number

In order to convert our improper fraction 59/36 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 [36] goes into the numerator [59]. To do this we divide the numerator by the denominator:

59 ÷ 36 = 1.64 = 1

(Quotient of 1 and a remainder of 23)

2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [23].

You may also calculate a remainder by using the whole number we calculated in the first step [1] and multiplying it by the original denominator [36]. And then subtract the result from the original numerator [59]:

59 - (1 × 36)

=

59 - 36 = 23

3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [23] and put it above the original denominator [36], and then put the whole number [1] before it

59
/
36
=1
23
/
36

That's it! We have successfully converted the improper fraction 59/36 to the mixed number 1 23/36.

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 59/36 as a Mixed Number? (The answer is: 1 23/36). Enter the fraction (numerator and denominator) (e.g. '59/36') 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
60/36
61/361 25/36
62/361 13/18
63/36
64/36
65/361 29/36
66/36
67/361 31/36
68/36
69/36
70/36
71/361 35/36
72/362
73/362 1/36
74/36
75/36
76/36
77/362 5/36
78/36
79/362 7/36
80/36
81/36
82/36
83/362 11/36
84/36
85/362 13/36
86/36
87/36
88/36

FAQ

How to write 59/36 as a Mixed Number?

Fraction 59/36 as a mixed number it is 1 23/36