100/27 to a mixed number

How to write 100/27 as a Mixed Number?

Answer: Fraction 100/27 as a mixed number it is 3 19/27

Since we have an improper fraction (the numerator [100] is greater than the denominator [27]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

100
/
27
=3
19
/
27

Steps to convert 100/27 to a mixed number

In order to convert our improper fraction 100/27 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 [27] goes into the numerator [100]. To do this we divide the numerator by the denominator:

100 ÷ 27 = 3.7 = 3

(Quotient of 3 and a remainder of 19)

2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [19].

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 [27]. And then subtract the result from the original numerator [100]:

100 - (3 × 27)

=

100 - 81 = 19

3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [19] and put it above the original denominator [27], and then put the whole number [3] before it

100
/
27
=3
19
/
27

That's it! We have successfully converted the improper fraction 100/27 to the mixed number 3 19/27.

Related Calculations

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 100/27 as a Mixed Number? (The answer is: 3 19/27). Enter the fraction (numerator and denominator) (e.g. '100/27') 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
3 19/27
101/273 20/27
102/27
103/273 22/27
104/273 23/27
105/27
106/273 25/27
107/273 26/27
108/274
109/274 1/27
110/274 2/27
111/27
112/274 4/27
113/274 5/27
114/27
115/274 7/27
116/274 8/27
117/27
118/274 10/27
119/274 11/27
120/27
121/274 13/27
122/274 14/27
123/27
124/274 16/27
125/274 17/27
126/27
127/274 19/27
128/274 20/27
129/27

FAQ

How to write 100/27 as a Mixed Number?

Fraction 100/27 as a mixed number it is 3 19/27