math help

What is 6/7 - 10/12?

What is 6/7 - 10/12?

Here's how to subtract 10/12 from 6/7:

6
7
10
12

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 6 by 12, and get 72.

Then we multiply 10 by 7, and get 70.

Next we give both terms new denominators -- 7 × 12 = 84.

So now our fractions look like this:

72
84
70
84

Step 2

Since our denominators match, we can subtract the numerators.

72 − 70 = 2

So the answer is:

2
84

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:

2
84
÷ 2 =
1
42

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:
6
7
10
12
=
1
42