math help

What is 38/88 x 6/19?

What is 38/88 x 6/19?

Here's how to multiply

38
88
x
6
19

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 38 by 6, and get 228.

Then we multiply 88 by 19, and get 1672.

And the result looks like this:

228
1672

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:

228
1672
÷ 2 =
114
836

Let's try dividing by 2 again...

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

114
836
÷ 2 =
57
418

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...

Are both the numerator and the denominator evenly divisible by 19? Yes! So we reduce it:

57
418
÷ 19 =
3
22

Let's try dividing by 19 again...

No good. 19 is larger than 3. So we're done reducing.

There you have it! The final answer is:

38
88
x
6
19
=
3
22