math help

What is 22/7 x 36/4?

What is 22/7 x 36/4?

Here's how to multiply

22
7
x
36
4

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 36, and get 792.

Then we multiply 7 by 4, and get 28.

And the result looks like this:

792
28

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:

792
28
÷ 2 =
396
14

Let's try dividing by 2 again...

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

396
14
÷ 2 =
198
7

Let's try dividing by 2 again...

Nope! So now we try the next greatest prime number, 3...

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...

No good. 11 is larger than 7. So we're done reducing.

There you have it! The final answer is:

22
7
x
36
4
=
198
7