59/31 to a mixed number

How to write 59/31 as a Mixed Number?

Answer: Fraction 59/31 as a mixed number it is 1 28/31

Since we have an improper fraction (the numerator [59] is greater than the denominator [31]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

59
/
31
=1
28
/
31

Steps to convert 59/31 to a mixed number

In order to convert our improper fraction 59/31 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 [31] goes into the numerator [59]. To do this we divide the numerator by the denominator:

59 ÷ 31 = 1.9 = 1

(Quotient of 1 and a remainder of 28)

2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [28].

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 [31]. And then subtract the result from the original numerator [59]:

59 - (1 × 31)

=

59 - 31 = 28

3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [28] and put it above the original denominator [31], and then put the whole number [1] before it

59
/
31
=1
28
/
31

That's it! We have successfully converted the improper fraction 59/31 to the mixed number 1 28/31.

Fraction to a Mixed Number Conversion Table

FractionMixed Number
1 28/31
60/311 29/31
61/311 30/31
62/312
2 1/31
64/312 2/31
2 3/31
66/312 4/31
67/312 5/31
68/312 6/31
69/312 7/31
70/312 8/31
71/312 9/31
2 10/31
73/312 11/31
74/312 12/31
2 13/31
76/312 14/31
77/312 15/31
78/312 16/31
79/312 17/31
80/312 18/31
81/312 19/31
2 20/31
83/312 21/31
84/312 22/31
85/312 23/31
86/312 24/31
87/312 25/31
88/312 26/31

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 59/31 as a Mixed Number? (The answer is: 1 28/31). Enter the fraction (numerator and denominator) (e.g. '59/31') 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 59/31 as a Mixed Number?

Fraction 59/31 as a mixed number it is 1 28/31