167/36 to a mixed number

How to write 167/36 as a Mixed Number?

Answer: Fraction 167/36 as a mixed number it is 4 23/36

Since we have an improper fraction (the numerator [167] is greater than the denominator [36]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

167
/
36
=4
23
/
36

Steps to convert 167/36 to a mixed number

In order to convert our improper fraction 167/36 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 [36] goes into the numerator [167]. To do this we divide the numerator by the denominator:

167 ÷ 36 = 4.64 = 4

(Quotient of 4 and a remainder of 23)

2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [23].

You may also calculate a remainder by using the whole number we calculated in the first step [4] and multiplying it by the original denominator [36]. And then subtract the result from the original numerator [167]:

167 - (4 × 36)

=

167 - 144 = 23

3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [23] and put it above the original denominator [36], and then put the whole number [4] before it

167
/
36
=4
23
/
36

That's it! We have successfully converted the improper fraction 167/36 to the mixed number 4 23/36.

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 167/36 as a Mixed Number? (The answer is: 4 23/36). Enter the fraction (numerator and denominator) (e.g. '167/36') 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
4 23/36
168/36
169/364 25/36
170/364 13/18
171/36
172/36
173/364 29/36
174/36
175/364 31/36
176/36
177/364 11/12
178/36
179/364 35/36
180/365
181/365 1/36
182/365 1/18
183/36
184/36
185/365 5/36
186/36
187/365 7/36
188/36
189/36
190/36
191/365 11/36
192/36
193/365 13/36
194/365 7/18
195/36
196/36

FAQ

How to write 167/36 as a Mixed Number?

Fraction 167/36 as a mixed number it is 4 23/36