math help

What is 22/27 x 9/11?

What is 22/27 x 9/11?

Here's how to multiply

22
27
x
9
11

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 22 by 9, and get 198.

Then we multiply 27 by 11, and get 297.

And the result looks like this:

198
297

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...

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:

198
297
÷ 3 =
66
99

Let's try dividing by 3 again...

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

66
99
÷ 3 =
22
33

Let's try dividing by 3 again...

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

Nope! So now we try the next greatest prime number, 7...

Nope! So now we try the next greatest prime number, 11...

Are both the numerator and the denominator evenly divisible by 11? Yes! So we reduce it:

22
33
÷ 11 =
2
3

Let's try dividing by 11 again...

No good. 11 is larger than 2. So we're done reducing.

There you have it! The final answer is:

22
27
x
9
11
=
2
3