 # What is 7/10 - 3/6? Here's how to subtract 3/6 from 7/10:

 7 10
 3 6

## 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 7 by 6, and get 42.

Then we multiply 3 by 10, and get 30.

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

So now our fractions look like this:

 42 60
 30 60

## Step 2

Since our denominators match, we can subtract the numerators.

42 − 30 = 12

 12 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:

 12 60
÷ 2 =
 6 30

Let's try dividing by 2 again...

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

 6 30
÷ 2 =
 3 15

Let's try dividing by 2 again...

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

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:

 3 15
÷ 3 =
 1 5

Let's try dividing by 3 again...

No good. 3 is larger than 1. So we're done reducing.

There you have it! The final answer is:
 7 10
 3 6
=
 1 5