math help

What is 56/68 x 100/50?

What is 56/68 x 100/50?

Here's how to multiply

56
68
x
100
50

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 56 by 100, and get 5600.

Then we multiply 68 by 50, and get 3400.

And the result looks like this:

5600
3400

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:

5600
3400
÷ 2 =
2800
1700

Let's try dividing by 2 again...

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

2800
1700
÷ 2 =
1400
850

Let's try dividing by 2 again...

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

1400
850
÷ 2 =
700
425

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:

700
425
÷ 5 =
140
85

Let's try dividing by 5 again...

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

140
85
÷ 5 =
28
17

Let's try dividing by 5 again...

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...

No good. 19 is larger than 17. So we're done reducing.

There you have it! The final answer is:

56
68
x
100
50
=
28
17

100/50 + 1/2
100/50 - 1/2
100/50 + 1/3
100/50 - 1/3
100/50 + 2/3
100/50 - 2/3
100/50 + 1/4
100/50 - 1/4
100/50 + 2/4
100/50 - 2/4
100/50 + 3/4
100/50 - 3/4
100/50 + 1/5
100/50 - 1/5
100/50 + 2/5
100/50 - 2/5
100/50 + 3/5
100/50 - 3/5
100/50 + 4/5
100/50 - 4/5
100/50 + 1/6
100/50 - 1/6
100/50 + 2/6
100/50 - 2/6
100/50 + 3/6
100/50 - 3/6
100/50 + 4/6
100/50 - 4/6
100/50 + 5/6
100/50 - 5/6
100/50 + 1/7
100/50 - 1/7
100/50 + 2/7
100/50 - 2/7
100/50 + 3/7
100/50 - 3/7
100/50 + 4/7
100/50 - 4/7
100/50 + 5/7
100/50 - 5/7
100/50 + 6/7
100/50 - 6/7
100/50 + 1/8
100/50 - 1/8
100/50 + 2/8
100/50 - 2/8
100/50 + 3/8
100/50 - 3/8
100/50 + 4/8
100/50 - 4/8
100/50 + 5/8
100/50 - 5/8
100/50 + 6/8
100/50 - 6/8
100/50 + 7/8
100/50 - 7/8
100/50 + 1/9
100/50 - 1/9
100/50 + 2/9
100/50 - 2/9
100/50 + 3/9
100/50 - 3/9
100/50 + 4/9
100/50 - 4/9
100/50 + 5/9
100/50 - 5/9
100/50 + 6/9
100/50 - 6/9
100/50 + 7/9
100/50 - 7/9
100/50 + 8/9
100/50 - 8/9
100/50 + 1/10
100/50 - 1/10
100/50 + 2/10
100/50 - 2/10
100/50 + 3/10
100/50 - 3/10
100/50 + 4/10
100/50 - 4/10
100/50 + 5/10
100/50 - 5/10
100/50 + 6/10
100/50 - 6/10
100/50 + 7/10
100/50 - 7/10
100/50 + 8/10
100/50 - 8/10
100/50 + 9/10
100/50 - 9/10
100/50 + 1/11
100/50 - 1/11
100/50 + 2/11
100/50 - 2/11
100/50 + 3/11
100/50 - 3/11
100/50 + 4/11
100/50 - 4/11
100/50 + 5/11
100/50 - 5/11
100/50 + 6/11
100/50 - 6/11
100/50 + 7/11
100/50 - 7/11
100/50 + 8/11
100/50 - 8/11
100/50 + 9/11
100/50 - 9/11
100/50 + 10/11
100/50 - 10/11
100/50 + 1/12
100/50 - 1/12
100/50 + 2/12
100/50 - 2/12
100/50 + 3/12
100/50 - 3/12
100/50 + 4/12
100/50 - 4/12
100/50 + 5/12
100/50 - 5/12
100/50 + 6/12
100/50 - 6/12
100/50 + 7/12
100/50 - 7/12
100/50 + 8/12
100/50 - 8/12
100/50 + 9/12
100/50 - 9/12
100/50 + 10/12
100/50 - 10/12
100/50 + 11/12
100/50 - 11/12