math help

What is 6/9 x 3/18?

What is 6/9 x 3/18?

Here's how to multiply

6
9
x
3
18

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 6 by 3, and get 18.

Then we multiply 9 by 18, and get 162.

And the result looks like this:

18
162

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:

18
162
÷ 2 =
9
81

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:

9
81
÷ 3 =
3
27

Let's try dividing by 3 again...

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

3
27
÷ 3 =
1
9

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:

6
9
x
3
18
=
1
9