23/4 to a mixed number

How to write 23/4 as a Mixed Number?

Answer: Fraction 23/4 as a mixed number it is 5 3/4

Since we have an improper fraction (the numerator [23] is greater than the denominator [4]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

23
/
4
=5
3
/
4

Steps to convert 23/4 to a mixed number

In order to convert our improper fraction 23/4 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 [23]. To do this we divide the numerator by the denominator:

23 ÷ 4 = 5.75 = 5

(Quotient of 5 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 [5] and multiplying it by the original denominator [4]. And then subtract the result from the original numerator [23]:

23 - (5 × 4)

=

23 - 20 = 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 [5] before it

23
/
4
=5
3
/
4

That's it! We have successfully converted the improper fraction 23/4 to the mixed number 5 3/4.

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 23/4 as a Mixed Number? (The answer is: 5 3/4). Enter the fraction (numerator and denominator) (e.g. '23/4') 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.

Fraction to a Mixed Number Conversion Table

FAQ

How to write 23/4 as a Mixed Number?

Fraction 23/4 as a mixed number it is 5 3/4