51/11 to a mixed number

How to write 51/11 as a Mixed Number?

Answer: Fraction 51/11 as a mixed number it is 4 7/11

Since we have an improper fraction (the numerator [51] is greater than the denominator [11]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

51
/
11
=4
7
/
11

Steps to convert 51/11 to a mixed number

In order to convert our improper fraction 51/11 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 [51]. To do this we divide the numerator by the denominator:

51 ÷ 11 = 4.64 = 4

(Quotient of 4 and a remainder of 7)

2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [7].

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 [11]. And then subtract the result from the original numerator [51]:

51 - (4 × 11)

=

51 - 44 = 7

3. Get our mixed fraction. To complete our mixed fraction we need to take the new numerator from previous step [7] and put it above the original denominator [11], and then put the whole number [4] before it

51
/
11
=4
7
/
11

That's it! We have successfully converted the improper fraction 51/11 to the mixed number 4 7/11.

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 51/11 as a Mixed Number? (The answer is: 4 7/11). Enter the fraction (numerator and denominator) (e.g. '51/11') 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 51/11 as a Mixed Number?

Fraction 51/11 as a mixed number it is 4 7/11