86/11 to a mixed number

How to write 86/11 as a Mixed Number?

Answer: Fraction 86/11 as a mixed number it is 7 9/11

Since we have an improper fraction (the numerator [86] is greater than the denominator [11]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

86
/
11
=7
9
/
11

Steps to convert 86/11 to a mixed number

In order to convert our improper fraction 86/11 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 [11] goes into the numerator [86]. To do this we divide the numerator by the denominator:

86 ÷ 11 = 7.82 = 7

(Quotient of 7 and a remainder of 9)

2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [9].

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 [11]. And then subtract the result from the original numerator [86]:

86 - (7 × 11)

=

86 - 77 = 9

3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [9] and put it above the original denominator [11], and then put the whole number [7] before it

86
/
11
=7
9
/
11

That's it! We have successfully converted the improper fraction 86/11 to the mixed number 7 9/11.

Related Calculations

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 86/11 as a Mixed Number? (The answer is: 7 9/11). Enter the fraction (numerator and denominator) (e.g. '86/11') 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 86/11 as a Mixed Number?

Fraction 86/11 as a mixed number it is 7 9/11