117/35 to a mixed number

How to write 117/35 as a Mixed Number?

Answer: Fraction 117/35 as a mixed number it is 3 12/35

Since we have an improper fraction (the numerator [117] is greater than the denominator [35]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

117
/
35
=3
12
/
35

Steps to convert 117/35 to a mixed number

In order to convert our improper fraction 117/35 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 [35] goes into the numerator [117]. To do this we divide the numerator by the denominator:

117 ÷ 35 = 3.34 = 3

(Quotient of 3 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 [3] and multiplying it by the original denominator [35]. And then subtract the result from the original numerator [117]:

117 - (3 × 35)

=

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 [35], and then put the whole number [3] before it

117
/
35
=3
12
/
35

That's it! We have successfully converted the improper fraction 117/35 to the mixed number 3 12/35.

See Also

Fraction to a Mixed Number Conversion Table

FractionMixed Number
3 12/35
118/353 13/35
119/35
120/35
121/353 16/35
122/353 17/35
123/353 18/35
124/353 19/35
125/35
126/35
127/353 22/35
128/353 23/35
129/353 24/35
130/35
131/353 26/35
132/353 27/35
133/35
134/353 29/35
135/35
136/353 31/35
137/353 32/35
138/353 33/35
139/353 34/35
140/354
141/354 1/35
142/354 2/35
143/354 3/35
144/354 4/35
145/35
146/354 6/35

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 117/35 as a Mixed Number? (The answer is: 3 12/35). Enter the fraction (numerator and denominator) (e.g. '117/35') 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 117/35 as a Mixed Number?

Fraction 117/35 as a mixed number it is 3 12/35