math help

What is 77/28 x 4/4?

What is 77/28 x 4/4?

Here's how to multiply

77
28
x
4
4

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 4, and get 308.

Then we multiply 28 by 4, and get 112.

And the result looks like this:

308
112

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:

308
112
÷ 2 =
154
56

Let's try dividing by 2 again...

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

154
56
÷ 2 =
77
28

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...

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

Are both the numerator and the denominator evenly divisible by 7? Yes! So we reduce it:

77
28
÷ 7 =
11
4

Let's try dividing by 7 again...

No good. 7 is larger than 4. So we're done reducing.

There you have it! The final answer is:

77
28
x
4
4
=
11
4