math help

What is 89/80 x 80/2?

What is 89/80 x 80/2?

Here's how to multiply

89
80
x
80
2

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 89 by 80, and get 7120.

Then we multiply 80 by 2, and get 160.

And the result looks like this:

7120
160

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:

7120
160
÷ 2 =
3560
80

Let's try dividing by 2 again...

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

3560
80
÷ 2 =
1780
40

Let's try dividing by 2 again...

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

1780
40
÷ 2 =
890
20

Let's try dividing by 2 again...

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

890
20
÷ 2 =
445
10

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...

Are both the numerator and the denominator evenly divisible by 5? Yes! So we reduce it:

445
10
÷ 5 =
89
2

Let's try dividing by 5 again...

No good. 5 is larger than 2. So we're done reducing.

There you have it! The final answer is:

89
80
x
80
2
=
89
2