89/23 to a mixed number

How to write 89/23 as a Mixed Number?

Answer: Fraction 89/23 as a mixed number it is 3 20/23

Since we have an improper fraction (the numerator [89] is greater than the denominator [23]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

89
/
23
=3
20
/
23

Steps to convert 89/23 to a mixed number

In order to convert our improper fraction 89/23 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 [23] goes into the numerator [89]. To do this we divide the numerator by the denominator:

89 ÷ 23 = 3.87 = 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 [23]. And then subtract the result from the original numerator [89]:

89 - (3 × 23)

=

89 - 69 = 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 [23], and then put the whole number [3] before it

89
/
23
=3
20
/
23

That's it! We have successfully converted the improper fraction 89/23 to the mixed number 3 20/23.

See Also

Fraction to a Mixed Number Conversion Table

FractionMixed Number
3 20/23
3 21/23
91/233 22/23
92/234
93/234 1/23
94/234 2/23
95/234 3/23
96/234 4/23
97/234 5/23
98/234 6/23
99/234 7/23
4 8/23
4 9/23
102/234 10/23
103/234 11/23
104/234 12/23
105/234 13/23
106/234 14/23
4 15/23
108/234 16/23
109/234 17/23
110/234 18/23
111/234 19/23
112/234 20/23
113/234 21/23
114/234 22/23
115/235
116/235 1/23
117/235 2/23
118/235 3/23

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 89/23 as a Mixed Number? (The answer is: 3 20/23). Enter the fraction (numerator and denominator) (e.g. '89/23') 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 89/23 as a Mixed Number?

Fraction 89/23 as a mixed number it is 3 20/23