math help

What is 7/16 - 3/7?

What is 7/16 - 3/7?

Here's how to subtract 3/7 from 7/16:

7
16
3
7

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 7, and get 49.

Then we multiply 3 by 16, and get 48.

Next we give both terms new denominators -- 16 × 7 = 112.

So now our fractions look like this:

49
112
48
112

Step 2

Since our denominators match, we can subtract the numerators.

49 − 48 = 1

So the answer is:

1
112

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...

No good. 2 is larger than 1. So we're done reducing.

There you have it! The final answer is:
7
16
3
7
=
1
112