117/20 to a mixed number

How to write 117/20 as a Mixed Number?

Answer: Fraction 117/20 as a mixed number it is 5 17/20

Since we have an improper fraction (the numerator [117] is greater than the denominator [20]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

117
/
20
=5
17
/
20

Steps to convert 117/20 to a mixed number

In order to convert our improper fraction 117/20 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 [20] goes into the numerator [117]. To do this we divide the numerator by the denominator:

117 ÷ 20 = 5.85 = 5

(Quotient of 5 and a remainder of 17)

2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [17].

You may also calculate a remainder by using the whole number we calculated in the first step [5] and multiplying it by the original denominator [20]. And then subtract the result from the original numerator [117]:

117 - (5 × 20)

=

117 - 100 = 17

3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [17] and put it above the original denominator [20], and then put the whole number [5] before it

117
/
20
=5
17
/
20

That's it! We have successfully converted the improper fraction 117/20 to the mixed number 5 17/20.

Fraction to a Mixed Number Conversion Table

FractionMixed Number
5 17/20
118/20
119/205 19/20
120/206
122/20
124/20
125/20
126/20
127/20
128/20
129/20
130/20
131/206 11/20
132/20
133/206 13/20
134/20
135/20
136/20
137/206 17/20
138/20
139/206 19/20
140/207
141/20
142/20
143/20
144/20
145/20
146/20

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 117/20 as a Mixed Number? (The answer is: 5 17/20). Enter the fraction (numerator and denominator) (e.g. '117/20') 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 117/20 as a Mixed Number?

Fraction 117/20 as a mixed number it is 5 17/20