math help

What is 60/4 x 9/60?

What is 60/4 x 9/60?

Here's how to multiply

60
4
x
9
60

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 60 by 9, and get 540.

Then we multiply 4 by 60, and get 240.

And the result looks like this:

540
240

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:

540
240
÷ 2 =
270
120

Let's try dividing by 2 again...

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

270
120
÷ 2 =
135
60

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:

135
60
÷ 3 =
45
20

Let's try dividing by 3 again...

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:

45
20
÷ 5 =
9
4

Let's try dividing by 5 again...

No good. 5 is larger than 4. So we're done reducing.

There you have it! The final answer is:

60
4
x
9
60
=
9
4