math help

What is 8/92 x 64/4?

What is 8/92 x 64/4?

Here's how to multiply

8
92
x
64
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 8 by 64, and get 512.

Then we multiply 92 by 4, and get 368.

And the result looks like this:

512
368

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:

512
368
÷ 2 =
256
184

Let's try dividing by 2 again...

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

256
184
÷ 2 =
128
92

Let's try dividing by 2 again...

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

128
92
÷ 2 =
64
46

Let's try dividing by 2 again...

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

64
46
÷ 2 =
32
23

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...

Nope! So now we try the next greatest prime number, 13...

Nope! So now we try the next greatest prime number, 17...

Nope! So now we try the next greatest prime number, 19...

Nope! So now we try the next greatest prime number, 23...

Nope! So now we try the next greatest prime number, 29...

No good. 29 is larger than 23. So we're done reducing.

There you have it! The final answer is:

8
92
x
64
4
=
32
23