 # 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