math help

What is 20/69 x 3/20?

What is 20/69 x 3/20?

Here's how to multiply

20
69
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 20 by 3, and get 60.

Then we multiply 69 by 20, and get 1380.

And the result looks like this:

60
1380

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:

60
1380
÷ 2 =
30
690

Let's try dividing by 2 again...

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

30
690
÷ 2 =
15
345

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:

15
345
÷ 3 =
5
115

Let's try dividing by 3 again...

Nope! So now we try the next greatest prime number, 5...

Are both the numerator and the denominator evenly divisible by 5? Yes! So we reduce it:

5
115
÷ 5 =
1
23

Let's try dividing by 5 again...

No good. 5 is larger than 1. So we're done reducing.

There you have it! The final answer is:

20
69
x
3
20
=
1
23