math help

What is 77/99 x 9/34?

What is 77/99 x 9/34?

Here's how to multiply

77
99
x
9
34

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 77 by 9, and get 693.

Then we multiply 99 by 34, and get 3366.

And the result looks like this:

693
3366

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:

693
3366
÷ 3 =
231
1122

Let's try dividing by 3 again...

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

231
1122
÷ 3 =
77
374

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...

Are both the numerator and the denominator evenly divisible by 11? Yes! So we reduce it:

77
374
÷ 11 =
7
34

Let's try dividing by 11 again...

No good. 11 is larger than 7. So we're done reducing.

There you have it! The final answer is:

77
99
x
9
34
=
7
34