101/15 to a mixed number

How to write 101/15 as a Mixed Number?

Answer: Fraction 101/15 as a mixed number it is 6 11/15

Since we have an improper fraction (the numerator [101] is greater than the denominator [15]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

101
/
15
=6
11
/
15

Steps to convert 101/15 to a mixed number

In order to convert our improper fraction 101/15 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 [15] goes into the numerator [101]. To do this we divide the numerator by the denominator:

101 ÷ 15 = 6.73 = 6

(Quotient of 6 and a remainder of 11)

2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [11].

You may also calculate a remainder by using the whole number we calculated in the first step [6] and multiplying it by the original denominator [15]. And then subtract the result from the original numerator [101]:

101 - (6 × 15)

=

101 - 90 = 11

3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [11] and put it above the original denominator [15], and then put the whole number [6] before it

101
/
15
=6
11
/
15

That's it! We have successfully converted the improper fraction 101/15 to the mixed number 6 11/15.

See Also

Fraction to a Mixed Number Conversion Table

FractionMixed Number
6 11/15
102/15
103/156 13/15
6 14/15
105/157
106/15
107/15
108/15
109/157 4/15
110/15
111/15
113/15
114/15
115/15
7 11/15
118/157 13/15
7 14/15
120/158
122/15
123/15
124/15
125/15
126/15
127/15
128/15
129/15
130/15

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 101/15 as a Mixed Number? (The answer is: 6 11/15). Enter the fraction (numerator and denominator) (e.g. '101/15') 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 101/15 as a Mixed Number?

Fraction 101/15 as a mixed number it is 6 11/15