120/13 to a mixed number

Fraction to Mixed Number Converter

Improper Fraction to Convert

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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

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Fraction to a Mixed Number Conversion Table

Fraction Mixed Number
120/13 9 3/13
121/13 9 4/13
122/13 9 5/13
123/13 9 6/13
124/13 9 7/13
125/13 9 8/13
126/13 9 9/13
127/13 9 10/13
128/13 9 11/13
129/13 9 12/13
130/13 10
131/13 10 1/13
132/13 10 2/13
133/13 10 3/13
134/13 10 4/13
135/13 10 5/13
136/13 10 6/13
137/13 10 7/13
138/13 10 8/13
139/13 10 9/13
140/13 10 10/13
141/13 10 11/13
142/13 10 12/13
143/13 11
144/13 11 1/13
145/13 11 2/13
146/13 11 3/13
147/13 11 4/13
148/13 11 5/13
149/13 11 6/13

FAQ

How to write 120/13 as a Mixed Number?

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

How do you convert 120/13 to a mixed number?

To convert 120/13 to a mixed number, divide the numerator (120) by the denominator (13). The quotient is 9 (whole number) and the remainder is 3. So 120/13 = 9 3/13.

What is the difference between an improper fraction and a mixed number?

An improper fraction has a numerator greater than or equal to its denominator (e.g., 120/13). A mixed number combines a whole number with a proper fraction (e.g., 9 3/13). They represent the same value.