31/5 to a mixed number

Fraction to Mixed Number Converter

Improper Fraction to Convert

How to write 31/5 as a Mixed Number?

Answer

The fraction 31/5 as a mixed number is
6 1/5

Since we have an improper fraction (the numerator [31] is greater than the denominator [5]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

31
5
=6
1
5

Steps to convert 31/5 to a mixed number

In order to convert our improper fraction 31/5 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 [5] goes into the numerator [31]. To do this we divide the numerator by the denominator:

31 ÷ 5 = 6.2 = 6

(Quotient of 6 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 [6] and multiplying it by the original denominator [5]. And then subtract the result from the original numerator [31]:

31 - (6 × 5)

=

31 - 30 = 1

3. Get our mixed number. To complete our mixed number we need to take the new numerator from previous step [1] and put it above the original denominator [5], and then put the whole number [6] before it

31
5
=6
1
5

That's it! We have successfully converted the improper fraction 31/5 to the mixed number 6 1/5.

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 31/5 as a Mixed Number? (The answer is: 6 1/5). Enter the fraction (numerator and denominator) (e.g. '31/5') 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 Mixed Number Converter

Improper Fraction to Convert

FAQ

How to write 31/5 as a Mixed Number?

The fraction 31/5 as a mixed number is 6 1/5

How is 31/5 split into a whole part and a fraction?

Divide the numerator (31) by the denominator (5): the quotient 6 is the whole part and the remainder 1 is the numerator of the fractional part, over the same denominator. Reduced to lowest terms that gives 6 1/5.

How can you check that 31/5 equals 6 1/5?

Multiply the whole part by the denominator and add the remainder back: 6 × 5 = 30, and 30 + 1 = 31 — exactly the numerator you started with.