117/10 to a mixed number

How to write 117/10 as a Mixed Number?

Answer: Fraction 117/10 as a mixed number it is 11 7/10

Since we have an improper fraction (the numerator [117] is greater than the denominator [10]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

117
/
10
=11
7
/
10

Steps to convert 117/10 to a mixed number

In order to convert our improper fraction 117/10 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 [10] goes into the numerator [117]. To do this we divide the numerator by the denominator:

117 ÷ 10 = 11.7 = 11

(Quotient of 11 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 [11] and multiplying it by the original denominator [10]. And then subtract the result from the original numerator [117]:

117 - (11 × 10)

=

117 - 110 = 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 [10], and then put the whole number [11] before it

117
/
10
=11
7
/
10

That's it! We have successfully converted the improper fraction 117/10 to the mixed number 11 7/10.

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 117/10 as a Mixed Number? (The answer is: 11 7/10). Enter the fraction (numerator and denominator) (e.g. '117/10') 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
118/1011 4/5
119/1011 9/10
120/1012
12 1/10
122/10
12 3/10
124/1012 2/5
125/10
126/1012 3/5
127/1012 7/10
128/1012 4/5
129/1012 9/10
130/1013
131/1013 1/10
132/1013 1/5
133/1013 3/10
134/1013 2/5
135/1013 1/2
136/10
137/1013 7/10
138/1013 4/5
139/1013 9/10
140/1014
14 1/10
142/1014 1/5
143/1014 3/10
144/1014 2/5
145/1014 1/2
146/1014 3/5

FAQ

How to write 117/10 as a Mixed Number?

Fraction 117/10 as a mixed number it is 11 7/10