 # What is 7/16 - 3/6? Here's how to subtract 3/6 from 7/16:

 7 16
 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 16, and get 48.

Next we give both terms new denominators -- 16 × 6 = 96.

So now our fractions look like this:

 42 96
 48 96

## Step 2

Since our denominators match, we can subtract the numerators.

42 − 48 = -6

 -6 96

## 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:

 -6 96
÷ 2 =
 -3 48

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 48
÷ 3 =
 -1 16

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 16
 3 6
=
 1 16