math help

What is 28/52 x 48/30?

What is 28/52 x 48/30?

Here's how to multiply

28
52
x
48
30

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 28 by 48, and get 1344.

Then we multiply 52 by 30, and get 1560.

And the result looks like this:

1344
1560

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:

1344
1560
÷ 2 =
672
780

Let's try dividing by 2 again...

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

672
780
÷ 2 =
336
390

Let's try dividing by 2 again...

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

336
390
÷ 2 =
168
195

Let's try dividing by 2 again...

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:

168
195
÷ 3 =
56
65

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...

Nope! So now we try the next greatest prime number, 13...

Nope! So now we try the next greatest prime number, 17...

Nope! So now we try the next greatest prime number, 19...

Nope! So now we try the next greatest prime number, 23...

Nope! So now we try the next greatest prime number, 29...

Nope! So now we try the next greatest prime number, 31...

Nope! So now we try the next greatest prime number, 37...

Nope! So now we try the next greatest prime number, 41...

Nope! So now we try the next greatest prime number, 43...

Nope! So now we try the next greatest prime number, 47...

Nope! So now we try the next greatest prime number, 53...

Nope! So now we try the next greatest prime number, 59...

No good. 59 is larger than 56. So we're done reducing.

There you have it! The final answer is:

28
52
x
48
30
=
56
65

48/30 + 1/2
48/30 - 1/2
48/30 + 1/3
48/30 - 1/3
48/30 + 2/3
48/30 - 2/3
48/30 + 1/4
48/30 - 1/4
48/30 + 2/4
48/30 - 2/4
48/30 + 3/4
48/30 - 3/4
48/30 + 1/5
48/30 - 1/5
48/30 + 2/5
48/30 - 2/5
48/30 + 3/5
48/30 - 3/5
48/30 + 4/5
48/30 - 4/5
48/30 + 1/6
48/30 - 1/6
48/30 + 2/6
48/30 - 2/6
48/30 + 3/6
48/30 - 3/6
48/30 + 4/6
48/30 - 4/6
48/30 + 5/6
48/30 - 5/6
48/30 + 1/7
48/30 - 1/7
48/30 + 2/7
48/30 - 2/7
48/30 + 3/7
48/30 - 3/7
48/30 + 4/7
48/30 - 4/7
48/30 + 5/7
48/30 - 5/7
48/30 + 6/7
48/30 - 6/7
48/30 + 1/8
48/30 - 1/8
48/30 + 2/8
48/30 - 2/8
48/30 + 3/8
48/30 - 3/8
48/30 + 4/8
48/30 - 4/8
48/30 + 5/8
48/30 - 5/8
48/30 + 6/8
48/30 - 6/8
48/30 + 7/8
48/30 - 7/8
48/30 + 1/9
48/30 - 1/9
48/30 + 2/9
48/30 - 2/9
48/30 + 3/9
48/30 - 3/9
48/30 + 4/9
48/30 - 4/9
48/30 + 5/9
48/30 - 5/9
48/30 + 6/9
48/30 - 6/9
48/30 + 7/9
48/30 - 7/9
48/30 + 8/9
48/30 - 8/9
48/30 + 1/10
48/30 - 1/10
48/30 + 2/10
48/30 - 2/10
48/30 + 3/10
48/30 - 3/10
48/30 + 4/10
48/30 - 4/10
48/30 + 5/10
48/30 - 5/10
48/30 + 6/10
48/30 - 6/10
48/30 + 7/10
48/30 - 7/10
48/30 + 8/10
48/30 - 8/10
48/30 + 9/10
48/30 - 9/10
48/30 + 1/11
48/30 - 1/11
48/30 + 2/11
48/30 - 2/11
48/30 + 3/11
48/30 - 3/11
48/30 + 4/11
48/30 - 4/11
48/30 + 5/11
48/30 - 5/11
48/30 + 6/11
48/30 - 6/11
48/30 + 7/11
48/30 - 7/11
48/30 + 8/11
48/30 - 8/11
48/30 + 9/11
48/30 - 9/11
48/30 + 10/11
48/30 - 10/11
48/30 + 1/12
48/30 - 1/12
48/30 + 2/12
48/30 - 2/12
48/30 + 3/12
48/30 - 3/12
48/30 + 4/12
48/30 - 4/12
48/30 + 5/12
48/30 - 5/12
48/30 + 6/12
48/30 - 6/12
48/30 + 7/12
48/30 - 7/12
48/30 + 8/12
48/30 - 8/12
48/30 + 9/12
48/30 - 9/12
48/30 + 10/12
48/30 - 10/12
48/30 + 11/12
48/30 - 11/12