83/4 to a mixed number

How to write 83/4 as a Mixed Number?

Answer: Fraction 83/4 as a mixed number it is 20 3/4

Since we have an improper fraction (the numerator [83] is greater than the denominator [4]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

83
/
4
=20
3
/
4

Steps to convert 83/4 to a mixed number

In order to convert our improper fraction 83/4 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 [4] goes into the numerator [83]. To do this we divide the numerator by the denominator:

83 ÷ 4 = 20.75 = 20

(Quotient of 20 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 [20] and multiplying it by the original denominator [4]. And then subtract the result from the original numerator [83]:

83 - (20 × 4)

=

83 - 80 = 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 [4], and then put the whole number [20] before it

83
/
4
=20
3
/
4

That's it! We have successfully converted the improper fraction 83/4 to the mixed number 20 3/4.

See Also

Fraction to a Mixed Number Conversion Table

FractionMixed Number
20 3/4
84/421
85/421 1/4
86/421 1/2
21 3/4
88/422
89/422 1/4
90/422 1/2
22 3/4
92/423
23 1/4
94/423 1/2
95/4
96/424
97/4
98/424 1/2
24 3/4
100/425
101/425 1/4
102/425 1/2
25 3/4
104/426
26 1/4
106/426 1/2
26 3/4
108/427
109/427 1/4
110/427 1/2
27 3/4
112/428

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 83/4 as a Mixed Number? (The answer is: 20 3/4). Enter the fraction (numerator and denominator) (e.g. '83/4') 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 83/4 as a Mixed Number?

Fraction 83/4 as a mixed number it is 20 3/4