71/9 to a mixed number

How to write 71/9 as a Mixed Number?

Answer: Fraction 71/9 as a mixed number it is 7 8/9

Since we have an improper fraction (the numerator [71] is greater than the denominator [9]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

71
/
9
=7
8
/
9

Steps to convert 71/9 to a mixed number

In order to convert our improper fraction 71/9 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 [9] goes into the numerator [71]. To do this we divide the numerator by the denominator:

71 ÷ 9 = 7.89 = 7

(Quotient of 7 and a remainder of 8)

2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [8].

You may also calculate a remainder by using the whole number we calculated in the first step [7] and multiplying it by the original denominator [9]. And then subtract the result from the original numerator [71]:

71 - (7 × 9)

=

71 - 63 = 8

3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [8] and put it above the original denominator [9], and then put the whole number [7] before it

71
/
9
=7
8
/
9

That's it! We have successfully converted the improper fraction 71/9 to the mixed number 7 8/9.

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 71/9 as a Mixed Number? (The answer is: 7 8/9). Enter the fraction (numerator and denominator) (e.g. '71/9') 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 71/9 as a Mixed Number?

Fraction 71/9 as a mixed number it is 7 8/9