math help

What is 4/8 - 7/10?

What is 4/8 - 7/10?

Here's how to subtract 7/10 from 4/8:

4
8
7
10

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 4 by 10, and get 40.

Then we multiply 7 by 8, and get 56.

Next we give both terms new denominators -- 8 × 10 = 80.

So now our fractions look like this:

40
80
56
80

Step 2

Since our denominators match, we can subtract the numerators.

40 − 56 = -16

So the answer is:

-16
80

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
80
÷ 2 =
-8
40

Let's try dividing by 2 again...

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

-8
40
÷ 2 =
-4
20

Let's try dividing by 2 again...

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

-4
20
÷ 2 =
-2
10

Let's try dividing by 2 again...

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

-2
10
÷ 2 =
-1
5

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:
4
8
7
10
=
1
5