120/13 to a mixed number

Fraction to Mixed Number Converter

Improper Fraction to Convert

How to write 120/13 as a Mixed Number?

Answer

The fraction 120/13 as a mixed number is
9 3/13

Since we have an improper fraction (the numerator [120] is greater than the denominator [13]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

120
13
=9
3
13

Steps to convert 120/13 to a mixed number

In order to convert our improper fraction 120/13 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 [120]. To do this we divide the numerator by the denominator:

120 ÷ 13 = 9.23 = 9

(Quotient of 9 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 [9] and multiplying it by the original denominator [13]. And then subtract the result from the original numerator [120]:

120 - (9 × 13)

=

120 - 117 = 3

3. Get our mixed number. To complete our mixed number we need to take the new numerator from previous step [3] and put it above the original denominator [13], and then put the whole number [9] before it

120
13
=9
3
13

That's it! We have successfully converted the improper fraction 120/13 to the mixed number 9 3/13.

See Also

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 120/13 as a Mixed Number? (The answer is: 9 3/13). Enter the fraction (numerator and denominator) (e.g. '120/13') 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.
Fraction to Mixed Number Converter

Improper Fraction to Convert

FAQ

How to write 120/13 as a Mixed Number?

The fraction 120/13 as a mixed number is 9 3/13

How is 120/13 split into a whole part and a fraction?

Divide the numerator (120) by the denominator (13): the quotient 9 is the whole part and the remainder 3 is the numerator of the fractional part, over the same denominator. Reduced to lowest terms that gives 9 3/13.

How can you check that 120/13 equals 9 3/13?

Multiply the whole part by the denominator and add the remainder back: 9 × 13 = 117, and 117 + 3 = 120 — exactly the numerator you started with.