math help

What is 100/30 x 95/29?

What is 100/30 x 95/29?

Here's how to multiply

100
30
x
95
29

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 100 by 95, and get 9500.

Then we multiply 30 by 29, and get 870.

And the result looks like this:

9500
870

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:

9500
870
÷ 2 =
4750
435

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:

4750
435
÷ 5 =
950
87

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...

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...

Nope! So now we try the next greatest prime number, 61...

Nope! So now we try the next greatest prime number, 67...

Nope! So now we try the next greatest prime number, 71...

Nope! So now we try the next greatest prime number, 73...

Nope! So now we try the next greatest prime number, 79...

Nope! So now we try the next greatest prime number, 83...

Nope! So now we try the next greatest prime number, 89...

No good. 89 is larger than 87. So we're done reducing.

There you have it! The final answer is:

100
30
x
95
29
=
950
87

95/29 + 1/2
95/29 - 1/2
95/29 + 1/3
95/29 - 1/3
95/29 + 2/3
95/29 - 2/3
95/29 + 1/4
95/29 - 1/4
95/29 + 2/4
95/29 - 2/4
95/29 + 3/4
95/29 - 3/4
95/29 + 1/5
95/29 - 1/5
95/29 + 2/5
95/29 - 2/5
95/29 + 3/5
95/29 - 3/5
95/29 + 4/5
95/29 - 4/5
95/29 + 1/6
95/29 - 1/6
95/29 + 2/6
95/29 - 2/6
95/29 + 3/6
95/29 - 3/6
95/29 + 4/6
95/29 - 4/6
95/29 + 5/6
95/29 - 5/6
95/29 + 1/7
95/29 - 1/7
95/29 + 2/7
95/29 - 2/7
95/29 + 3/7
95/29 - 3/7
95/29 + 4/7
95/29 - 4/7
95/29 + 5/7
95/29 - 5/7
95/29 + 6/7
95/29 - 6/7
95/29 + 1/8
95/29 - 1/8
95/29 + 2/8
95/29 - 2/8
95/29 + 3/8
95/29 - 3/8
95/29 + 4/8
95/29 - 4/8
95/29 + 5/8
95/29 - 5/8
95/29 + 6/8
95/29 - 6/8
95/29 + 7/8
95/29 - 7/8
95/29 + 1/9
95/29 - 1/9
95/29 + 2/9
95/29 - 2/9
95/29 + 3/9
95/29 - 3/9
95/29 + 4/9
95/29 - 4/9
95/29 + 5/9
95/29 - 5/9
95/29 + 6/9
95/29 - 6/9
95/29 + 7/9
95/29 - 7/9
95/29 + 8/9
95/29 - 8/9
95/29 + 1/10
95/29 - 1/10
95/29 + 2/10
95/29 - 2/10
95/29 + 3/10
95/29 - 3/10
95/29 + 4/10
95/29 - 4/10
95/29 + 5/10
95/29 - 5/10
95/29 + 6/10
95/29 - 6/10
95/29 + 7/10
95/29 - 7/10
95/29 + 8/10
95/29 - 8/10
95/29 + 9/10
95/29 - 9/10
95/29 + 1/11
95/29 - 1/11
95/29 + 2/11
95/29 - 2/11
95/29 + 3/11
95/29 - 3/11
95/29 + 4/11
95/29 - 4/11
95/29 + 5/11
95/29 - 5/11
95/29 + 6/11
95/29 - 6/11
95/29 + 7/11
95/29 - 7/11
95/29 + 8/11
95/29 - 8/11
95/29 + 9/11
95/29 - 9/11
95/29 + 10/11
95/29 - 10/11
95/29 + 1/12
95/29 - 1/12
95/29 + 2/12
95/29 - 2/12
95/29 + 3/12
95/29 - 3/12
95/29 + 4/12
95/29 - 4/12
95/29 + 5/12
95/29 - 5/12
95/29 + 6/12
95/29 - 6/12
95/29 + 7/12
95/29 - 7/12
95/29 + 8/12
95/29 - 8/12
95/29 + 9/12
95/29 - 9/12
95/29 + 10/12
95/29 - 10/12
95/29 + 11/12
95/29 - 11/12