101/9 to a mixed number

How to write 101/9 as a Mixed Number?

Answer: Fraction 101/9 as a mixed number it is 11 2/9

Since we have an improper fraction (the numerator [101] is greater than the denominator [9]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

101
/
9
=11
2
/
9

Steps to convert 101/9 to a mixed number

In order to convert our improper fraction 101/9 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 [9] goes into the numerator [101]. To do this we divide the numerator by the denominator:

101 ÷ 9 = 11.22 = 11

(Quotient of 11 and a remainder of 2)

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

You may also calculate a remainder by using the whole number we calculated in the first step [11] and multiplying it by the original denominator [9]. And then subtract the result from the original numerator [101]:

101 - (11 × 9)

=

101 - 99 = 2

3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [2] and put it above the original denominator [9], and then put the whole number [11] before it

101
/
9
=11
2
/
9

That's it! We have successfully converted the improper fraction 101/9 to the mixed number 11 2/9.

See Also

Fraction to a Mixed Number Conversion Table

FractionMixed Number
11 2/9
102/911 1/3
103/911 4/9
104/911 5/9
105/911 2/3
106/911 7/9
107/911 8/9
108/912
12 1/9
12 2/9
111/912 1/3
12 4/9
113/912 5/9
114/912 2/3
12 7/9
116/912 8/9
117/913
118/913 1/9
119/913 2/9
120/913 1/3
121/913 4/9
122/913 5/9
123/913 2/3
124/913 7/9
125/913 8/9
126/914
127/914 1/9
128/914 2/9
129/914 1/3
130/914 4/9

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 101/9 as a Mixed Number? (The answer is: 11 2/9). Enter the fraction (numerator and denominator) (e.g. '101/9') 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 101/9 as a Mixed Number?

Fraction 101/9 as a mixed number it is 11 2/9