math help

What is 7/12 - 6/8?

What is 7/12 - 6/8?

Here's how to subtract 6/8 from 7/12:

7
12
6
8

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 8, and get 56.

Then we multiply 6 by 12, and get 72.

Next we give both terms new denominators -- 12 × 8 = 96.

So now our fractions look like this:

56
96
72
96

Step 2

Since our denominators match, we can subtract the numerators.

56 − 72 = -16

So the answer is:

-16
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:

-16
96
÷ 2 =
-8
48

Let's try dividing by 2 again...

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

-8
48
÷ 2 =
-4
24

Let's try dividing by 2 again...

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

-4
24
÷ 2 =
-2
12

Let's try dividing by 2 again...

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

-2
12
÷ 2 =
-1
6

Let's try dividing by 2 again...

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

There you have it! The final answer is:
7
12
6
8
=
1
6