120/13 to a mixed number

How to write 120/13 as a Mixed Number?

Answer: Fraction 120/13 as a mixed number it 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 fraction. To complete our mixed fraction 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.

Related Calculations

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 a Mixed Number Conversion Table

FractionMixed Number
9 4/13
122/139 5/13
123/139 6/13
124/139 7/13
125/139 8/13
126/139 9/13
127/13
128/139 11/13
129/139 12/13
130/1310
131/1310 1/13
132/1310 2/13
133/1310 3/13
134/1310 4/13
135/1310 5/13
136/1310 6/13
137/1310 7/13
138/1310 8/13
139/1310 9/13
140/1310 10/13
141/1310 11/13
142/1310 12/13
143/1311
144/1311 1/13
145/1311 2/13
146/1311 3/13
147/1311 4/13
148/1311 5/13
149/1311 6/13

FAQ

How to write 120/13 as a Mixed Number?

Fraction 120/13 as a mixed number it is 9 3/13