math help

What is 98/75 x 45/3?

What is 98/75 x 45/3?

Here's how to multiply

98
75
x
45
3

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 98 by 45, and get 4410.

Then we multiply 75 by 3, and get 225.

And the result looks like this:

4410
225

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...

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:

4410
225
÷ 3 =
1470
75

Let's try dividing by 3 again...

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

1470
75
÷ 3 =
490
25

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:

490
25
÷ 5 =
98
5

Let's try dividing by 5 again...

Nope! So now we try the next greatest prime number, 7...

No good. 7 is larger than 5. So we're done reducing.

There you have it! The final answer is:

98
75
x
45
3
=
98
5