101/21 to a mixed number

How to write 101/21 as a Mixed Number?

Answer: Fraction 101/21 as a mixed number it is 4 17/21

Since we have an improper fraction (the numerator [101] is greater than the denominator [21]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

101
/
21
=4
17
/
21

Steps to convert 101/21 to a mixed number

In order to convert our improper fraction 101/21 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 [21] goes into the numerator [101]. To do this we divide the numerator by the denominator:

101 ÷ 21 = 4.81 = 4

(Quotient of 4 and a remainder of 17)

2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [17].

You may also calculate a remainder by using the whole number we calculated in the first step [4] and multiplying it by the original denominator [21]. And then subtract the result from the original numerator [101]:

101 - (4 × 21)

=

101 - 84 = 17

3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [17] and put it above the original denominator [21], and then put the whole number [4] before it

101
/
21
=4
17
/
21

That's it! We have successfully converted the improper fraction 101/21 to the mixed number 4 17/21.

See Also

Fraction to a Mixed Number Conversion Table

FractionMixed Number
4 17/21
102/21
103/214 19/21
4 20/21
105/215
106/215 1/21
107/215 2/21
108/21
109/215 4/21
110/215 5/21
111/21
112/21
113/215 8/21
114/21
115/215 10/21
116/215 11/21
117/21
118/215 13/21
119/21
120/21
121/215 16/21
122/215 17/21
123/21
124/215 19/21
125/215 20/21
126/216
127/216 1/21
128/216 2/21
129/21
130/216 4/21

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 101/21 as a Mixed Number? (The answer is: 4 17/21). Enter the fraction (numerator and denominator) (e.g. '101/21') 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 101/21 as a Mixed Number?

Fraction 101/21 as a mixed number it is 4 17/21