math help

What is 64/21 x 91/6?

What is 64/21 x 91/6?

Here's how to multiply

64
21
x
91
6

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 64 by 91, and get 5824.

Then we multiply 21 by 6, and get 126.

And the result looks like this:

5824
126

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:

5824
126
÷ 2 =
2912
63

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...

Are both the numerator and the denominator evenly divisible by 7? Yes! So we reduce it:

2912
63
÷ 7 =
416
9

Let's try dividing by 7 again...

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

No good. 11 is larger than 9. So we're done reducing.

There you have it! The final answer is:

64
21
x
91
6
=
416
9