117/15 to a mixed number

How to write 117/15 as a Mixed Number?

Answer: Fraction 117/15 as a mixed number it is 7 4/5

Since we have an improper fraction (the numerator [117] is greater than the denominator [15]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

39
/
5
=7
4
/
5

Steps to convert 117/15 to a mixed number

In order to convert our improper fraction 117/15 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 [117]. To do this we divide the numerator by the denominator:

117 ÷ 15 = 7.8 = 7

(Quotient of 7 and a remainder of 12)

2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [12].

You may also calculate a remainder by using the whole number we calculated in the first step [7] and multiplying it by the original denominator [15]. And then subtract the result from the original numerator [117]:

117 - (7 × 15)

=

117 - 105 = 12

3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [12] and put it above the original denominator [15], and then put the whole number [7] before it

39
/
5
=7
4
/
5

That's it! We have successfully converted the improper fraction 117/15 to the mixed number 7 4/5.

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 117/15 as a Mixed Number? (The answer is: 7 4/5). Enter the fraction (numerator and denominator) (e.g. '117/15') 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.

Fraction to a Mixed Number Conversion Table

FractionMixed Number
118/157 13/15
7 14/15
120/158
122/15
123/15
124/15
125/15
126/15
127/15
128/15
129/15
130/15
131/158 11/15
132/15
133/158 13/15
134/158 14/15
135/159
136/15
137/159 2/15
138/15
139/15
140/15
141/15
142/159 7/15
143/159 8/15
144/15
145/15
146/159 11/15

FAQ

How to write 117/15 as a Mixed Number?

Fraction 117/15 as a mixed number it is 7 4/5