31/30 to a mixed number

How to write 31/30 as a Mixed Number?

Answer: Fraction 31/30 as a mixed number it is 1 1/30

Since we have an improper fraction (the numerator [31] is greater than the denominator [30]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

31
/
30
=1
1
/
30

Steps to convert 31/30 to a mixed number

In order to convert our improper fraction 31/30 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 [30] goes into the numerator [31]. To do this we divide the numerator by the denominator:

31 ÷ 30 = 1.03 = 1

(Quotient of 1 and a remainder of 1)

2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [1].

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

31 - (1 × 30)

=

31 - 30 = 1

3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [1] and put it above the original denominator [30], and then put the whole number [1] before it

31
/
30
=1
1
/
30

That's it! We have successfully converted the improper fraction 31/30 to the mixed number 1 1/30.

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 31/30 as a Mixed Number? (The answer is: 1 1/30). Enter the fraction (numerator and denominator) (e.g. '31/30') 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 1/30
32/30
33/30
34/30
35/30
36/30
1 7/30
38/30
39/30
40/30
41/301 11/30
42/30
1 13/30
44/30
45/30
46/30
47/301 17/30
48/30
1 19/30
50/30
51/30
52/30
1 23/30
54/30
55/30
56/301 13/15
57/30
58/301 14/15
59/301 29/30
60/302

FAQ

How to write 31/30 as a Mixed Number?

Fraction 31/30 as a mixed number it is 1 1/30