101/12 to a mixed number

How to write 101/12 as a Mixed Number?

Answer: Fraction 101/12 as a mixed number it is 8 5/12

Since we have an improper fraction (the numerator [101] is greater than the denominator [12]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

101
/
12
=8
5
/
12

Steps to convert 101/12 to a mixed number

In order to convert our improper fraction 101/12 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 [12] goes into the numerator [101]. To do this we divide the numerator by the denominator:

101 ÷ 12 = 8.42 = 8

(Quotient of 8 and a remainder of 5)

2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [5].

You may also calculate a remainder by using the whole number we calculated in the first step [8] and multiplying it by the original denominator [12]. And then subtract the result from the original numerator [101]:

101 - (8 × 12)

=

101 - 96 = 5

3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [5] and put it above the original denominator [12], and then put the whole number [8] before it

101
/
12
=8
5
/
12

That's it! We have successfully converted the improper fraction 101/12 to the mixed number 8 5/12.

Related Calculations

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 101/12 as a Mixed Number? (The answer is: 8 5/12). Enter the fraction (numerator and denominator) (e.g. '101/12') 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
102/12
104/12
105/12
106/12
8 11/12
108/129
109/12
110/12
111/12
112/12
114/12
115/12
116/12
117/12
118/12
119/129 11/12
120/1210
121/12
122/12
123/12
124/12
125/12
126/12
127/12
128/12
129/12

FAQ

How to write 101/12 as a Mixed Number?

Fraction 101/12 as a mixed number it is 8 5/12