46/13 to a mixed number

How to write 46/13 as a Mixed Number?

Answer: Fraction 46/13 as a mixed number it is 3 7/13

Since we have an improper fraction (the numerator [46] is greater than the denominator [13]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

46
/
13
=3
7
/
13

Steps to convert 46/13 to a mixed number

In order to convert our improper fraction 46/13 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 [46]. To do this we divide the numerator by the denominator:

46 ÷ 13 = 3.54 = 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 [13]. And then subtract the result from the original numerator [46]:

46 - (3 × 13)

=

46 - 39 = 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 [13], and then put the whole number [3] before it

46
/
13
=3
7
/
13

That's it! We have successfully converted the improper fraction 46/13 to the mixed number 3 7/13.

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 46/13 as a Mixed Number? (The answer is: 3 7/13). Enter the fraction (numerator and denominator) (e.g. '46/13') 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 46/13 as a Mixed Number?

Fraction 46/13 as a mixed number it is 3 7/13