math help

What is 35/4 x 40/41?

What is 35/4 x 40/41?

Here's how to multiply

35
4
x
40
41

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 35 by 40, and get 1400.

Then we multiply 4 by 41, and get 164.

And the result looks like this:

1400
164

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:

1400
164
÷ 2 =
700
82

Let's try dividing by 2 again...

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

700
82
÷ 2 =
350
41

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...

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...

No good. 43 is larger than 41. So we're done reducing.

There you have it! The final answer is:

35
4
x
40
41
=
350
41

40/41 + 1/2
40/41 - 1/2
40/41 + 1/3
40/41 - 1/3
40/41 + 2/3
40/41 - 2/3
40/41 + 1/4
40/41 - 1/4
40/41 + 2/4
40/41 - 2/4
40/41 + 3/4
40/41 - 3/4
40/41 + 1/5
40/41 - 1/5
40/41 + 2/5
40/41 - 2/5
40/41 + 3/5
40/41 - 3/5
40/41 + 4/5
40/41 - 4/5
40/41 + 1/6
40/41 - 1/6
40/41 + 2/6
40/41 - 2/6
40/41 + 3/6
40/41 - 3/6
40/41 + 4/6
40/41 - 4/6
40/41 + 5/6
40/41 - 5/6
40/41 + 1/7
40/41 - 1/7
40/41 + 2/7
40/41 - 2/7
40/41 + 3/7
40/41 - 3/7
40/41 + 4/7
40/41 - 4/7
40/41 + 5/7
40/41 - 5/7
40/41 + 6/7
40/41 - 6/7
40/41 + 1/8
40/41 - 1/8
40/41 + 2/8
40/41 - 2/8
40/41 + 3/8
40/41 - 3/8
40/41 + 4/8
40/41 - 4/8
40/41 + 5/8
40/41 - 5/8
40/41 + 6/8
40/41 - 6/8
40/41 + 7/8
40/41 - 7/8
40/41 + 1/9
40/41 - 1/9
40/41 + 2/9
40/41 - 2/9
40/41 + 3/9
40/41 - 3/9
40/41 + 4/9
40/41 - 4/9
40/41 + 5/9
40/41 - 5/9
40/41 + 6/9
40/41 - 6/9
40/41 + 7/9
40/41 - 7/9
40/41 + 8/9
40/41 - 8/9
40/41 + 1/10
40/41 - 1/10
40/41 + 2/10
40/41 - 2/10
40/41 + 3/10
40/41 - 3/10
40/41 + 4/10
40/41 - 4/10
40/41 + 5/10
40/41 - 5/10
40/41 + 6/10
40/41 - 6/10
40/41 + 7/10
40/41 - 7/10
40/41 + 8/10
40/41 - 8/10
40/41 + 9/10
40/41 - 9/10
40/41 + 1/11
40/41 - 1/11
40/41 + 2/11
40/41 - 2/11
40/41 + 3/11
40/41 - 3/11
40/41 + 4/11
40/41 - 4/11
40/41 + 5/11
40/41 - 5/11
40/41 + 6/11
40/41 - 6/11
40/41 + 7/11
40/41 - 7/11
40/41 + 8/11
40/41 - 8/11
40/41 + 9/11
40/41 - 9/11
40/41 + 10/11
40/41 - 10/11
40/41 + 1/12
40/41 - 1/12
40/41 + 2/12
40/41 - 2/12
40/41 + 3/12
40/41 - 3/12
40/41 + 4/12
40/41 - 4/12
40/41 + 5/12
40/41 - 5/12
40/41 + 6/12
40/41 - 6/12
40/41 + 7/12
40/41 - 7/12
40/41 + 8/12
40/41 - 8/12
40/41 + 9/12
40/41 - 9/12
40/41 + 10/12
40/41 - 10/12
40/41 + 11/12
40/41 - 11/12