31/24 to a mixed number

How to write 31/24 as a Mixed Number?

Answer: Fraction 31/24 as a mixed number it is 1 7/24

Since we have an improper fraction (the numerator [31] is greater than the denominator [24]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

31
/
24
=1
7
/
24

Steps to convert 31/24 to a mixed number

In order to convert our improper fraction 31/24 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 [24] goes into the numerator [31]. To do this we divide the numerator by the denominator:

31 ÷ 24 = 1.29 = 1

(Quotient of 1 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 [1] and multiplying it by the original denominator [24]. And then subtract the result from the original numerator [31]:

31 - (1 × 24)

=

31 - 24 = 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 [24], and then put the whole number [1] before it

31
/
24
=1
7
/
24

That's it! We have successfully converted the improper fraction 31/24 to the mixed number 1 7/24.

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 31/24 as a Mixed Number? (The answer is: 1 7/24). Enter the fraction (numerator and denominator) (e.g. '31/24') 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
1 7/24
32/24
33/24
34/24
1 11/24
36/24
1 13/24
38/24
39/24
40/24
1 17/24
42/24
1 19/24
44/24
45/24
46/24
47/241 23/24
48/242
2 1/24
50/24
51/24
52/24
2 5/24
54/24
2 7/24
56/24
57/24
58/24
59/242 11/24
60/24

FAQ

How to write 31/24 as a Mixed Number?

Fraction 31/24 as a mixed number it is 1 7/24