120/37 to a mixed number

How to write 120/37 as a Mixed Number?

Answer: Fraction 120/37 as a mixed number it is 3 9/37

Since we have an improper fraction (the numerator [120] is greater than the denominator [37]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

120
/
37
=3
9
/
37

Steps to convert 120/37 to a mixed number

In order to convert our improper fraction 120/37 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 [37] goes into the numerator [120]. To do this we divide the numerator by the denominator:

120 ÷ 37 = 3.24 = 3

(Quotient of 3 and a remainder of 9)

2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [9].

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 [37]. And then subtract the result from the original numerator [120]:

120 - (3 × 37)

=

120 - 111 = 9

3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [9] and put it above the original denominator [37], and then put the whole number [3] before it

120
/
37
=3
9
/
37

That's it! We have successfully converted the improper fraction 120/37 to the mixed number 3 9/37.

Fraction to a Mixed Number Conversion Table

FractionMixed Number
3 9/37
121/373 10/37
122/373 11/37
123/373 12/37
124/373 13/37
125/373 14/37
126/373 15/37
127/373 16/37
128/373 17/37
129/373 18/37
130/373 19/37
131/373 20/37
132/373 21/37
133/373 22/37
134/373 23/37
135/373 24/37
136/373 25/37
137/373 26/37
138/373 27/37
139/373 28/37
140/373 29/37
141/373 30/37
142/373 31/37
143/373 32/37
144/373 33/37
145/373 34/37
146/373 35/37
147/373 36/37
148/374
149/374 1/37

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 120/37 as a Mixed Number? (The answer is: 3 9/37). Enter the fraction (numerator and denominator) (e.g. '120/37') 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 120/37 as a Mixed Number?

Fraction 120/37 as a mixed number it is 3 9/37