math help

What is 77/100 x 50/8?

What is 77/100 x 50/8?

Here's how to multiply

77
100
x
50
8

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 77 by 50, and get 3850.

Then we multiply 100 by 8, and get 800.

And the result looks like this:

3850
800

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:

3850
800
÷ 2 =
1925
400

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...

Are both the numerator and the denominator evenly divisible by 5? Yes! So we reduce it:

1925
400
÷ 5 =
385
80

Let's try dividing by 5 again...

Are both the numerator and the denominator evenly divisible by 5? Yes! So we reduce it:

385
80
÷ 5 =
77
16

Let's try dividing by 5 again...

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...

No good. 17 is larger than 16. So we're done reducing.

There you have it! The final answer is:

77
100
x
50
8
=
77
16