math help

What is 9/10 - 2/4?

What is 9/10 - 2/4?

Here's how to subtract 2/4 from 9/10:

9
10
2
4

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 9 by 4, and get 36.

Then we multiply 2 by 10, and get 20.

Next we give both terms new denominators -- 10 × 4 = 40.

So now our fractions look like this:

36
40
20
40

Step 2

Since our denominators match, we can subtract the numerators.

36 − 20 = 16

So the answer is:

16
40

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
40
÷ 2 =
8
20

Let's try dividing by 2 again...

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

8
20
÷ 2 =
4
10

Let's try dividing by 2 again...

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

4
10
÷ 2 =
2
5

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:
9
10
2
4
=
2
5