83/21 to a mixed number

How to write 83/21 as a Mixed Number?

Answer: Fraction 83/21 as a mixed number it is 3 20/21

Since we have an improper fraction (the numerator [83] is greater than the denominator [21]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

83
/
21
=3
20
/
21

Steps to convert 83/21 to a mixed number

In order to convert our improper fraction 83/21 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 [83]. To do this we divide the numerator by the denominator:

83 ÷ 21 = 3.95 = 3

(Quotient of 3 and a remainder of 20)

2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [20].

You may also calculate a remainder by using the whole number we calculated in the first step [3] and multiplying it by the original denominator [21]. And then subtract the result from the original numerator [83]:

83 - (3 × 21)

=

83 - 63 = 20

3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [20] and put it above the original denominator [21], and then put the whole number [3] before it

83
/
21
=3
20
/
21

That's it! We have successfully converted the improper fraction 83/21 to the mixed number 3 20/21.

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 83/21 as a Mixed Number? (The answer is: 3 20/21). Enter the fraction (numerator and denominator) (e.g. '83/21') 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.

Fraction to a Mixed Number Conversion Table

FractionMixed Number
3 20/21
84/214
85/214 1/21
86/214 2/21
87/21
88/214 4/21
89/214 5/21
90/21
91/21
4 8/21
93/21
94/214 10/21
95/214 11/21
96/21
97/214 13/21
98/21
99/21
4 16/21
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

FAQ

How to write 83/21 as a Mixed Number?

Fraction 83/21 as a mixed number it is 3 20/21