math help

What is 30/56 x 56/60?

What is 30/56 x 56/60?

Here's how to multiply

30
56
x
56
60

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 30 by 56, and get 1680.

Then we multiply 56 by 60, and get 3360.

And the result looks like this:

1680
3360

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:

1680
3360
÷ 2 =
840
1680

Let's try dividing by 2 again...

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

840
1680
÷ 2 =
420
840

Let's try dividing by 2 again...

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

420
840
÷ 2 =
210
420

Let's try dividing by 2 again...

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

210
420
÷ 2 =
105
210

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:

105
210
÷ 3 =
35
70

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:

35
70
÷ 5 =
7
14

Let's try dividing by 5 again...

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:

7
14
÷ 7 =
1
2

Let's try dividing by 7 again...

No good. 7 is larger than 1. So we're done reducing.

There you have it! The final answer is:

30
56
x
56
60
=
1
2

56/60 + 1/2
56/60 - 1/2
56/60 + 1/3
56/60 - 1/3
56/60 + 2/3
56/60 - 2/3
56/60 + 1/4
56/60 - 1/4
56/60 + 2/4
56/60 - 2/4
56/60 + 3/4
56/60 - 3/4
56/60 + 1/5
56/60 - 1/5
56/60 + 2/5
56/60 - 2/5
56/60 + 3/5
56/60 - 3/5
56/60 + 4/5
56/60 - 4/5
56/60 + 1/6
56/60 - 1/6
56/60 + 2/6
56/60 - 2/6
56/60 + 3/6
56/60 - 3/6
56/60 + 4/6
56/60 - 4/6
56/60 + 5/6
56/60 - 5/6
56/60 + 1/7
56/60 - 1/7
56/60 + 2/7
56/60 - 2/7
56/60 + 3/7
56/60 - 3/7
56/60 + 4/7
56/60 - 4/7
56/60 + 5/7
56/60 - 5/7
56/60 + 6/7
56/60 - 6/7
56/60 + 1/8
56/60 - 1/8
56/60 + 2/8
56/60 - 2/8
56/60 + 3/8
56/60 - 3/8
56/60 + 4/8
56/60 - 4/8
56/60 + 5/8
56/60 - 5/8
56/60 + 6/8
56/60 - 6/8
56/60 + 7/8
56/60 - 7/8
56/60 + 1/9
56/60 - 1/9
56/60 + 2/9
56/60 - 2/9
56/60 + 3/9
56/60 - 3/9
56/60 + 4/9
56/60 - 4/9
56/60 + 5/9
56/60 - 5/9
56/60 + 6/9
56/60 - 6/9
56/60 + 7/9
56/60 - 7/9
56/60 + 8/9
56/60 - 8/9
56/60 + 1/10
56/60 - 1/10
56/60 + 2/10
56/60 - 2/10
56/60 + 3/10
56/60 - 3/10
56/60 + 4/10
56/60 - 4/10
56/60 + 5/10
56/60 - 5/10
56/60 + 6/10
56/60 - 6/10
56/60 + 7/10
56/60 - 7/10
56/60 + 8/10
56/60 - 8/10
56/60 + 9/10
56/60 - 9/10
56/60 + 1/11
56/60 - 1/11
56/60 + 2/11
56/60 - 2/11
56/60 + 3/11
56/60 - 3/11
56/60 + 4/11
56/60 - 4/11
56/60 + 5/11
56/60 - 5/11
56/60 + 6/11
56/60 - 6/11
56/60 + 7/11
56/60 - 7/11
56/60 + 8/11
56/60 - 8/11
56/60 + 9/11
56/60 - 9/11
56/60 + 10/11
56/60 - 10/11
56/60 + 1/12
56/60 - 1/12
56/60 + 2/12
56/60 - 2/12
56/60 + 3/12
56/60 - 3/12
56/60 + 4/12
56/60 - 4/12
56/60 + 5/12
56/60 - 5/12
56/60 + 6/12
56/60 - 6/12
56/60 + 7/12
56/60 - 7/12
56/60 + 8/12
56/60 - 8/12
56/60 + 9/12
56/60 - 9/12
56/60 + 10/12
56/60 - 10/12
56/60 + 11/12
56/60 - 11/12