math help

What is 7/10 - 10/12?

What is 7/10 - 10/12?

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

7
10
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 7 by 12, and get 84.

Then we multiply 10 by 10, and get 100.

Next we give both terms new denominators -- 10 × 12 = 120.

So now our fractions look like this:

84
120
100
120

Step 2

Since our denominators match, we can subtract the numerators.

84 − 100 = -16

So the answer is:

-16
120

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
120
÷ 2 =
-8
60

Let's try dividing by 2 again...

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

-8
60
÷ 2 =
-4
30

Let's try dividing by 2 again...

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

-4
30
÷ 2 =
-2
15

Let's try dividing by 2 again...

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

No good. 3 is larger than -2. So we're done reducing.

There you have it! The final answer is:
7
10
10
12
=
2
15

10/12 + 1/2
10/12 - 1/2
10/12 + 1/3
10/12 - 1/3
10/12 + 2/3
10/12 - 2/3
10/12 + 1/4
10/12 - 1/4
10/12 + 2/4
10/12 - 2/4
10/12 + 3/4
10/12 - 3/4
10/12 + 1/5
10/12 - 1/5
10/12 + 2/5
10/12 - 2/5
10/12 + 3/5
10/12 - 3/5
10/12 + 4/5
10/12 - 4/5
10/12 + 1/6
10/12 - 1/6
10/12 + 2/6
10/12 - 2/6
10/12 + 3/6
10/12 - 3/6
10/12 + 4/6
10/12 - 4/6
10/12 + 5/6
10/12 - 5/6
10/12 + 1/7
10/12 - 1/7
10/12 + 2/7
10/12 - 2/7
10/12 + 3/7
10/12 - 3/7
10/12 + 4/7
10/12 - 4/7
10/12 + 5/7
10/12 - 5/7
10/12 + 6/7
10/12 - 6/7
10/12 + 1/8
10/12 - 1/8
10/12 + 2/8
10/12 - 2/8
10/12 + 3/8
10/12 - 3/8
10/12 + 4/8
10/12 - 4/8
10/12 + 5/8
10/12 - 5/8
10/12 + 6/8
10/12 - 6/8
10/12 + 7/8
10/12 - 7/8
10/12 + 1/9
10/12 - 1/9
10/12 + 2/9
10/12 - 2/9
10/12 + 3/9
10/12 - 3/9
10/12 + 4/9
10/12 - 4/9
10/12 + 5/9
10/12 - 5/9
10/12 + 6/9
10/12 - 6/9
10/12 + 7/9
10/12 - 7/9
10/12 + 8/9
10/12 - 8/9
10/12 + 1/10
10/12 - 1/10
10/12 + 2/10
10/12 - 2/10
10/12 + 3/10
10/12 - 3/10
10/12 + 4/10
10/12 - 4/10
10/12 + 5/10
10/12 - 5/10
10/12 + 6/10
10/12 - 6/10
10/12 + 7/10
10/12 - 7/10
10/12 + 8/10
10/12 - 8/10
10/12 + 9/10
10/12 - 9/10
10/12 + 1/11
10/12 - 1/11
10/12 + 2/11
10/12 - 2/11
10/12 + 3/11
10/12 - 3/11
10/12 + 4/11
10/12 - 4/11
10/12 + 5/11
10/12 - 5/11
10/12 + 6/11
10/12 - 6/11
10/12 + 7/11
10/12 - 7/11
10/12 + 8/11
10/12 - 8/11
10/12 + 9/11
10/12 - 9/11
10/12 + 10/11
10/12 - 10/11
10/12 + 1/12
10/12 - 1/12
10/12 + 2/12
10/12 - 2/12
10/12 + 3/12
10/12 - 3/12
10/12 + 4/12
10/12 - 4/12
10/12 + 5/12
10/12 - 5/12
10/12 + 6/12
10/12 - 6/12
10/12 + 7/12
10/12 - 7/12
10/12 + 8/12
10/12 - 8/12
10/12 + 9/12
10/12 - 9/12
10/12 + 10/12
10/12 - 10/12
10/12 + 11/12
10/12 - 11/12