math help

What is 2/3 x 3/20?

What is 2/3 x 3/20?

Here's how to multiply

2
3
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 2 by 3, and get 6.

Then we multiply 3 by 20, and get 60.

And the result looks like this:

6
60

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:

6
60
÷ 2 =
3
30

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
30
÷ 3 =
1
10

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:

2
3
x
3
20
=
1
10