math help

What is 36/43 x 100/24?

What is 36/43 x 100/24?

Here's how to multiply

36
43
x
100
24

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 36 by 100, and get 3600.

Then we multiply 43 by 24, and get 1032.

And the result looks like this:

3600
1032

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:

3600
1032
÷ 2 =
1800
516

Let's try dividing by 2 again...

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

1800
516
÷ 2 =
900
258

Let's try dividing by 2 again...

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

900
258
÷ 2 =
450
129

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:

450
129
÷ 3 =
150
43

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...

No good. 47 is larger than 43. So we're done reducing.

There you have it! The final answer is:

36
43
x
100
24
=
150
43

100/24 + 1/2
100/24 - 1/2
100/24 + 1/3
100/24 - 1/3
100/24 + 2/3
100/24 - 2/3
100/24 + 1/4
100/24 - 1/4
100/24 + 2/4
100/24 - 2/4
100/24 + 3/4
100/24 - 3/4
100/24 + 1/5
100/24 - 1/5
100/24 + 2/5
100/24 - 2/5
100/24 + 3/5
100/24 - 3/5
100/24 + 4/5
100/24 - 4/5
100/24 + 1/6
100/24 - 1/6
100/24 + 2/6
100/24 - 2/6
100/24 + 3/6
100/24 - 3/6
100/24 + 4/6
100/24 - 4/6
100/24 + 5/6
100/24 - 5/6
100/24 + 1/7
100/24 - 1/7
100/24 + 2/7
100/24 - 2/7
100/24 + 3/7
100/24 - 3/7
100/24 + 4/7
100/24 - 4/7
100/24 + 5/7
100/24 - 5/7
100/24 + 6/7
100/24 - 6/7
100/24 + 1/8
100/24 - 1/8
100/24 + 2/8
100/24 - 2/8
100/24 + 3/8
100/24 - 3/8
100/24 + 4/8
100/24 - 4/8
100/24 + 5/8
100/24 - 5/8
100/24 + 6/8
100/24 - 6/8
100/24 + 7/8
100/24 - 7/8
100/24 + 1/9
100/24 - 1/9
100/24 + 2/9
100/24 - 2/9
100/24 + 3/9
100/24 - 3/9
100/24 + 4/9
100/24 - 4/9
100/24 + 5/9
100/24 - 5/9
100/24 + 6/9
100/24 - 6/9
100/24 + 7/9
100/24 - 7/9
100/24 + 8/9
100/24 - 8/9
100/24 + 1/10
100/24 - 1/10
100/24 + 2/10
100/24 - 2/10
100/24 + 3/10
100/24 - 3/10
100/24 + 4/10
100/24 - 4/10
100/24 + 5/10
100/24 - 5/10
100/24 + 6/10
100/24 - 6/10
100/24 + 7/10
100/24 - 7/10
100/24 + 8/10
100/24 - 8/10
100/24 + 9/10
100/24 - 9/10
100/24 + 1/11
100/24 - 1/11
100/24 + 2/11
100/24 - 2/11
100/24 + 3/11
100/24 - 3/11
100/24 + 4/11
100/24 - 4/11
100/24 + 5/11
100/24 - 5/11
100/24 + 6/11
100/24 - 6/11
100/24 + 7/11
100/24 - 7/11
100/24 + 8/11
100/24 - 8/11
100/24 + 9/11
100/24 - 9/11
100/24 + 10/11
100/24 - 10/11
100/24 + 1/12
100/24 - 1/12
100/24 + 2/12
100/24 - 2/12
100/24 + 3/12
100/24 - 3/12
100/24 + 4/12
100/24 - 4/12
100/24 + 5/12
100/24 - 5/12
100/24 + 6/12
100/24 - 6/12
100/24 + 7/12
100/24 - 7/12
100/24 + 8/12
100/24 - 8/12
100/24 + 9/12
100/24 - 9/12
100/24 + 10/12
100/24 - 10/12
100/24 + 11/12
100/24 - 11/12