13/5 to a mixed number
How to write 13/5 as a Mixed Number?
Since we have an improper fraction (the numerator [13] is greater than the denominator [5]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):
Steps to convert 13/5 to a mixed number
In order to convert our improper fraction 13/5 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 [13]. To do this we divide the numerator by the denominator:
13 ÷ 5 = 2.6 = 2
(Quotient of 2 and a remainder of 3)
2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [3].
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 [5]. And then subtract the result from the original numerator [13]:
13 - (2 × 5)
=13 - 10 = 3
3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [3] and put it above the original denominator [5], and then put the whole number [2] before it
That's it! We have successfully converted the improper fraction 13/5 to the mixed number 2 3/5.
Related Calculations
<a href="https://calculat.io/en/number/fraction-as-a-mixed-number/13--5">What is 13/5 as a Mixed Number? - Calculatio</a>