31/16 to a mixed number

How to write 31/16 as a Mixed Number?

Answer: Fraction 31/16 as a mixed number it is 1 15/16

Since we have an improper fraction (the numerator [31] is greater than the denominator [16]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

31
/
16
=1
15
/
16

Steps to convert 31/16 to a mixed number

In order to convert our improper fraction 31/16 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 [16] goes into the numerator [31]. To do this we divide the numerator by the denominator:

31 ÷ 16 = 1.94 = 1

(Quotient of 1 and a remainder of 15)

2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [15].

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

31 - (1 × 16)

=

31 - 16 = 15

3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [15] and put it above the original denominator [16], and then put the whole number [1] before it

31
/
16
=1
15
/
16

That's it! We have successfully converted the improper fraction 31/16 to the mixed number 1 15/16.

See Also

Fraction to a Mixed Number Conversion Table

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 31/16 as a Mixed Number? (The answer is: 1 15/16). Enter the fraction (numerator and denominator) (e.g. '31/16') 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 31/16 as a Mixed Number?

Fraction 31/16 as a mixed number it is 1 15/16