101/6 to a mixed number

How to write 101/6 as a Mixed Number?

Answer: Fraction 101/6 as a mixed number it is 16 5/6

Since we have an improper fraction (the numerator [101] is greater than the denominator [6]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

101
/
6
=16
5
/
6

Steps to convert 101/6 to a mixed number

In order to convert our improper fraction 101/6 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 [6] goes into the numerator [101]. To do this we divide the numerator by the denominator:

101 ÷ 6 = 16.83 = 16

(Quotient of 16 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 [16] and multiplying it by the original denominator [6]. And then subtract the result from the original numerator [101]:

101 - (16 × 6)

=

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 [6], and then put the whole number [16] before it

101
/
6
=16
5
/
6

That's it! We have successfully converted the improper fraction 101/6 to the mixed number 16 5/6.

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 101/6 as a Mixed Number? (The answer is: 16 5/6). Enter the fraction (numerator and denominator) (e.g. '101/6') 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
16 5/6
102/617
103/617 1/6
104/617 1/3
105/6
106/617 2/3
17 5/6
108/618
109/618 1/6
110/618 1/3
111/6
112/618 2/3
113/618 5/6
114/619
19 1/6
116/619 1/3
117/6
118/619 2/3
119/619 5/6
120/620
121/620 1/6
122/620 1/3
123/620 1/2
124/620 2/3
125/620 5/6
126/621
127/621 1/6
128/621 1/3
129/621 1/2
130/621 2/3

FAQ

How to write 101/6 as a Mixed Number?

Fraction 101/6 as a mixed number it is 16 5/6