 # What is 5/6 - 7/10? Here's how to subtract 7/10 from 5/6:

 5 6
 7 10

## Step 1

We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 5 by 10, and get 50.

Then we multiply 7 by 6, and get 42.

Next we give both terms new denominators -- 6 × 10 = 60.

So now our fractions look like this:

 50 60
 42 60

## Step 2

Since our denominators match, we can subtract the numerators.

50 − 42 = 8

 8 60

## Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing it by 2...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

 8 60
÷ 2 =
 4 30

Let's try dividing by 2 again...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

 4 30
÷ 2 =
 2 15

Let's try dividing by 2 again...

Nope! So now we try the next greatest prime number, 3...

No good. 3 is larger than 2. So we're done reducing.

There you have it! The final answer is:
 5 6
 7 10
=
 2 15