math help

What is 2/54 x 9/10?

What is 2/54 x 9/10?

Here's how to multiply

2
54
x
9
10

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 9, and get 18.

Then we multiply 54 by 10, and get 540.

And the result looks like this:

18
540

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
540
÷ 2 =
9
270

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
270
÷ 3 =
3
90

Let's try dividing by 3 again...

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

3
90
÷ 3 =
1
30

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
54
x
9
10
=
1
30