118/15 to a mixed number

Fraction to Mixed Number Converter

Improper Fraction to Convert

How to write 118/15 as a Mixed Number?

Answer

The fraction 118/15 as a mixed number is
7 13/15

Since we have an improper fraction (the numerator [118] is greater than the denominator [15]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):

118
15
=7
13
15

Steps to convert 118/15 to a mixed number

In order to convert our improper fraction 118/15 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 [118]. To do this we divide the numerator by the denominator:

118 ÷ 15 = 7.87 = 7

(Quotient of 7 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 [7] and multiplying it by the original denominator [15]. And then subtract the result from the original numerator [118]:

118 - (7 × 15)

=

118 - 105 = 13

3. Get our mixed number. To complete our mixed number we need to take the new numerator from previous step [13] and put it above the original denominator [15], and then put the whole number [7] before it

118
15
=7
13
15

That's it! We have successfully converted the improper fraction 118/15 to the mixed number 7 13/15.

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 118/15 as a Mixed Number? (The answer is: 7 13/15). Enter the fraction (numerator and denominator) (e.g. '118/15') 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.
Fraction to Mixed Number Converter

Improper Fraction to Convert

FAQ

How to write 118/15 as a Mixed Number?

The fraction 118/15 as a mixed number is 7 13/15

How is 118/15 split into a whole part and a fraction?

Divide the numerator (118) by the denominator (15): the quotient 7 is the whole part and the remainder 13 is the numerator of the fractional part, over the same denominator. Reduced to lowest terms that gives 7 13/15.

How can you check that 118/15 equals 7 13/15?

Multiply the whole part by the denominator and add the remainder back: 7 × 15 = 105, and 105 + 13 = 118 — exactly the numerator you started with.