102/11 to a mixed number

How to write 102/11 as a Mixed Number?

Answer: Fraction 102/11 as a mixed number it is 9 3/11

Since we have an improper fraction (the numerator [102] is greater than the denominator [11]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

102
/
11
=9
3
/
11

Steps to convert 102/11 to a mixed number

In order to convert our improper fraction 102/11 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 [11] goes into the numerator [102]. To do this we divide the numerator by the denominator:

102 ÷ 11 = 9.27 = 9

(Quotient of 9 and a remainder of 3)

2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [3].

You may also calculate a remainder by using the whole number we calculated in the first step [9] and multiplying it by the original denominator [11]. And then subtract the result from the original numerator [102]:

102 - (9 × 11)

=

102 - 99 = 3

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

102
/
11
=9
3
/
11

That's it! We have successfully converted the improper fraction 102/11 to the mixed number 9 3/11.

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 102/11 as a Mixed Number? (The answer is: 9 3/11). Enter the fraction (numerator and denominator) (e.g. '102/11') 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
103/119 4/11
104/119 5/11
9 7/11
107/119 8/11
108/11
109/11
110/1110
112/11
113/11
10 4/11
115/11
116/1110 6/11
10 7/11
118/11
119/1110 9/11
121/1111
122/1111 1/11
123/1111 2/11
124/1111 3/11
125/1111 4/11
126/1111 5/11
127/1111 6/11
128/1111 7/11
129/1111 8/11
130/1111 9/11
131/1111 10/11

FAQ

How to write 102/11 as a Mixed Number?

Fraction 102/11 as a mixed number it is 9 3/11