117/11 to a mixed number

How to write 117/11 as a Mixed Number?

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

Since we have an improper fraction (the numerator [117] is greater than the denominator [11]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

117
/
11
=10
7
/
11

Steps to convert 117/11 to a mixed number

In order to convert our improper fraction 117/11 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 [11] goes into the numerator [117]. To do this we divide the numerator by the denominator:

117 ÷ 11 = 10.64 = 10

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

117 - (10 × 11)

=

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 [11], and then put the whole number [10] before it

117
/
11
=10
7
/
11

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

Fraction to a Mixed Number Conversion Table

FractionMixed Number
10 7/11
118/11
119/1110 9/11
121/1111
122/1111 1/11
123/1111 2/11
124/1111 3/11
125/1111 4/11
126/1111 5/11
127/1111 6/11
128/1111 7/11
129/1111 8/11
130/1111 9/11
131/1111 10/11
132/1112
133/1112 1/11
134/1112 2/11
135/1112 3/11
136/1112 4/11
137/1112 5/11
138/1112 6/11
139/1112 7/11
140/1112 8/11
141/1112 9/11
142/1112 10/11
143/1113
144/1113 1/11
145/1113 2/11
146/1113 3/11

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 117/11 as a Mixed Number? (The answer is: 10 7/11). Enter the fraction (numerator and denominator) (e.g. '117/11') 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.

FAQ

How to write 117/11 as a Mixed Number?

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