# How do you calculate #18/12 - 7/9#?

##### 1 Answer

The answer is

Here's how to calculate it:

You'll notice that

In order to subtract these fractions, we need to find equivalent fractions ( *i.e.* fractions that are the same as our originals) that have the **same denominator** as one another.

To do this, let's find the least common denominator, or the smallest number that can be divided by both denominators.

One way to do this to write out the multiples of both denominators until a number repeats in the the list:

Multiples of 12: 12, 24,

36, 48, 60

Multiples of 9: 9, 18, 27,36

Since 36 appears in both lists, we can make both denominators 36 to create equivalent fractions.

Since

#18/12 * 3/3 = 54/36#

And since

#7/9 * 4/4 = 28/36#

Now, we have equivalent fractions with a denominator of 36 and can subtract:

#54/36 - 28/36 = 26/36#

And then divide the numerator and the denominator by 2 to simplify:

#26/36 = 13/18#

... and there's your answer!