85/24 to a mixed number

How to write 85/24 as a Mixed Number?

Answer: Fraction 85/24 as a mixed number it is 3 13/24

Since we have an improper fraction (the numerator [85] is greater than the denominator [24]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

85
/
24
=3
13
/
24

Steps to convert 85/24 to a mixed number

In order to convert our improper fraction 85/24 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 [24] goes into the numerator [85]. To do this we divide the numerator by the denominator:

85 ÷ 24 = 3.54 = 3

(Quotient of 3 and a remainder of 13)

2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [13].

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 [24]. And then subtract the result from the original numerator [85]:

85 - (3 × 24)

=

85 - 72 = 13

3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [13] and put it above the original denominator [24], and then put the whole number [3] before it

85
/
24
=3
13
/
24

That's it! We have successfully converted the improper fraction 85/24 to the mixed number 3 13/24.

Related Calculations

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 85/24 as a Mixed Number? (The answer is: 3 13/24). Enter the fraction (numerator and denominator) (e.g. '85/24') 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 13/24
86/24
87/24
88/24
89/243 17/24
90/24
3 19/24
92/24
93/24
94/243 11/12
3 23/24
96/244
97/244 1/24
98/24
99/24
100/24
101/244 5/24
102/24
4 7/24
104/24
105/24
106/24
107/244 11/24
108/24
109/244 13/24
110/24
111/24
113/244 17/24
114/24

FAQ

How to write 85/24 as a Mixed Number?

Fraction 85/24 as a mixed number it is 3 13/24