math help

What is 26/78 x 3/24?

What is 26/78 x 3/24?

Here's how to multiply

26
78
x
3
24

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 26 by 3, and get 78.

Then we multiply 78 by 24, and get 1872.

And the result looks like this:

78
1872

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:

78
1872
÷ 2 =
39
936

Let's try dividing by 2 again...

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

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:

39
936
÷ 3 =
13
312

Let's try dividing by 3 again...

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...

Are both the numerator and the denominator evenly divisible by 13? Yes! So we reduce it:

13
312
÷ 13 =
1
24

Let's try dividing by 13 again...

No good. 13 is larger than 1. So we're done reducing.

There you have it! The final answer is:

26
78
x
3
24
=
1
24