math help

What is 5/21 x 21/33?

What is 5/21 x 21/33?

Here's how to multiply

5
21
x
21
33

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 5 by 21, and get 105.

Then we multiply 21 by 33, and get 693.

And the result looks like this:

105
693

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...

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
693
÷ 3 =
35
231

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...

Are both the numerator and the denominator evenly divisible by 7? Yes! So we reduce it:

35
231
÷ 7 =
5
33

Let's try dividing by 7 again...

No good. 7 is larger than 5. So we're done reducing.

There you have it! The final answer is:

5
21
x
21
33
=
5
33

21/33 + 1/2
21/33 - 1/2
21/33 + 1/3
21/33 - 1/3
21/33 + 2/3
21/33 - 2/3
21/33 + 1/4
21/33 - 1/4
21/33 + 2/4
21/33 - 2/4
21/33 + 3/4
21/33 - 3/4
21/33 + 1/5
21/33 - 1/5
21/33 + 2/5
21/33 - 2/5
21/33 + 3/5
21/33 - 3/5
21/33 + 4/5
21/33 - 4/5
21/33 + 1/6
21/33 - 1/6
21/33 + 2/6
21/33 - 2/6
21/33 + 3/6
21/33 - 3/6
21/33 + 4/6
21/33 - 4/6
21/33 + 5/6
21/33 - 5/6
21/33 + 1/7
21/33 - 1/7
21/33 + 2/7
21/33 - 2/7
21/33 + 3/7
21/33 - 3/7
21/33 + 4/7
21/33 - 4/7
21/33 + 5/7
21/33 - 5/7
21/33 + 6/7
21/33 - 6/7
21/33 + 1/8
21/33 - 1/8
21/33 + 2/8
21/33 - 2/8
21/33 + 3/8
21/33 - 3/8
21/33 + 4/8
21/33 - 4/8
21/33 + 5/8
21/33 - 5/8
21/33 + 6/8
21/33 - 6/8
21/33 + 7/8
21/33 - 7/8
21/33 + 1/9
21/33 - 1/9
21/33 + 2/9
21/33 - 2/9
21/33 + 3/9
21/33 - 3/9
21/33 + 4/9
21/33 - 4/9
21/33 + 5/9
21/33 - 5/9
21/33 + 6/9
21/33 - 6/9
21/33 + 7/9
21/33 - 7/9
21/33 + 8/9
21/33 - 8/9
21/33 + 1/10
21/33 - 1/10
21/33 + 2/10
21/33 - 2/10
21/33 + 3/10
21/33 - 3/10
21/33 + 4/10
21/33 - 4/10
21/33 + 5/10
21/33 - 5/10
21/33 + 6/10
21/33 - 6/10
21/33 + 7/10
21/33 - 7/10
21/33 + 8/10
21/33 - 8/10
21/33 + 9/10
21/33 - 9/10
21/33 + 1/11
21/33 - 1/11
21/33 + 2/11
21/33 - 2/11
21/33 + 3/11
21/33 - 3/11
21/33 + 4/11
21/33 - 4/11
21/33 + 5/11
21/33 - 5/11
21/33 + 6/11
21/33 - 6/11
21/33 + 7/11
21/33 - 7/11
21/33 + 8/11
21/33 - 8/11
21/33 + 9/11
21/33 - 9/11
21/33 + 10/11
21/33 - 10/11
21/33 + 1/12
21/33 - 1/12
21/33 + 2/12
21/33 - 2/12
21/33 + 3/12
21/33 - 3/12
21/33 + 4/12
21/33 - 4/12
21/33 + 5/12
21/33 - 5/12
21/33 + 6/12
21/33 - 6/12
21/33 + 7/12
21/33 - 7/12
21/33 + 8/12
21/33 - 8/12
21/33 + 9/12
21/33 - 9/12
21/33 + 10/12
21/33 - 10/12
21/33 + 11/12
21/33 - 11/12