52/15 to a mixed number

How to write 52/15 as a Mixed Number?

Answer: Fraction 52/15 as a mixed number it is 3 7/15

Since we have an improper fraction (the numerator [52] is greater than the denominator [15]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

52
/
15
=3
7
/
15

Steps to convert 52/15 to a mixed number

In order to convert our improper fraction 52/15 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 [15] goes into the numerator [52]. To do this we divide the numerator by the denominator:

52 ÷ 15 = 3.47 = 3

(Quotient of 3 and a remainder of 7)

2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [7].

You may also calculate a remainder by using the whole number we calculated in the first step [3] and multiplying it by the original denominator [15]. And then subtract the result from the original numerator [52]:

52 - (3 × 15)

=

52 - 45 = 7

3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [7] and put it above the original denominator [15], and then put the whole number [3] before it

52
/
15
=3
7
/
15

That's it! We have successfully converted the improper fraction 52/15 to the mixed number 3 7/15.

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 52/15 as a Mixed Number? (The answer is: 3 7/15). Enter the fraction (numerator and denominator) (e.g. '52/15') 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 52/15 as a Mixed Number?

Fraction 52/15 as a mixed number it is 3 7/15