math help

What is 4/9 x 3/20?

What is 4/9 x 3/20?

Here's how to multiply

4
9
x
3
20

Step 1

Multiplying two fractions is easier than adding them. You just multiply the numerators times each other, then do the same with the denominators.

So we multiply 4 by 3, and get 12.

Then we multiply 9 by 20, and get 180.

And the result looks like this:

12
180

Step 2

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:

12
180
÷ 2 =
6
90

Let's try dividing by 2 again...

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

6
90
÷ 2 =
3
45

Let's try dividing by 2 again...

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

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:

3
45
÷ 3 =
1
15

Let's try dividing by 3 again...

No good. 3 is larger than 1. So we're done reducing.

There you have it! The final answer is:

4
9
x
3
20
=
1
15