31/13 to a mixed number
How to write 31/13 as a Mixed Number?
Since we have an improper fraction (the numerator [31] is greater than the denominator [13]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):
Steps to convert 31/13 to a mixed number
In order to convert our improper fraction 31/13 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 [13] goes into the numerator [31]. To do this we divide the numerator by the denominator:
31 ÷ 13 = 2.38 = 2
(Quotient of 2 and a remainder of 5)
2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [5].
You may also calculate a remainder by using the whole number we calculated in the first step [2] and multiplying it by the original denominator [13]. And then subtract the result from the original numerator [31]:
31 - (2 × 13)
=31 - 26 = 5
3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [5] and put it above the original denominator [13], and then put the whole number [2] before it
That's it! We have successfully converted the improper fraction 31/13 to the mixed number 2 5/13.
Related Calculations
<a href="https://calculat.io/en/number/fraction-as-a-mixed-number/31--13">What is 31/13 as a Mixed Number? - Calculatio</a>