71/15 to a mixed number

How to write 71/15 as a Mixed Number?

Answer: Fraction 71/15 as a mixed number it is 4 11/15

Since we have an improper fraction (the numerator [71] is greater than the denominator [15]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

71
/
15
=4
11
/
15

Steps to convert 71/15 to a mixed number

In order to convert our improper fraction 71/15 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 [15] goes into the numerator [71]. To do this we divide the numerator by the denominator:

71 ÷ 15 = 4.73 = 4

(Quotient of 4 and a remainder of 11)

2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [11].

You may also calculate a remainder by using the whole number we calculated in the first step [4] and multiplying it by the original denominator [15]. And then subtract the result from the original numerator [71]:

71 - (4 × 15)

=

71 - 60 = 11

3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [11] and put it above the original denominator [15], and then put the whole number [4] before it

71
/
15
=4
11
/
15

That's it! We have successfully converted the improper fraction 71/15 to the mixed number 4 11/15.

Related Calculations

Fraction to a Mixed Number Conversion Table

FractionMixed Number
72/15
73/154 13/15
4 14/15
75/155
77/15
78/15
80/15
81/15
82/15
83/15
84/15
85/15
5 11/15
87/15
89/155 14/15
90/156
91/15
93/15
95/15
96/15
99/15
100/15

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 71/15 as a Mixed Number? (The answer is: 4 11/15). Enter the fraction (numerator and denominator) (e.g. '71/15') 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 71/15 as a Mixed Number?

Fraction 71/15 as a mixed number it is 4 11/15