math help

What is 20/17 + 4/12?

What is 20/17 + 4/12?

Here's how we add

20
17
 +
4
12

Step 1

We still have different denominators (bottom numbers), though, so we need to get a common denominator. This will make the bottom numbers match. Multiply the denominators together first. Now, multiply each numerator by the other term's denominator.

Now we multiply 20 by 12, and get 240, then we multiply 17 by 12 and get 204.

20/17 times 12

Now for the second term. You multiply 4 by 17, and get 68, then multiply 17 by 12 and get 204.

4/12 times 17

This gives us a new problem that looks like so:

240
204
 +
68
204

Step 2

Since our denominators match, we can add the numerators.

240 + 68 = 308

So what's the answer so far?

308
204

Step 3

Can this fraction be reduced?

First, we attempt to divide it by 2...

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

308
204
 ÷ 2 =
154
102

So far so good... let's try to divide by that number again.

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

154
102
 ÷ 2 =
77
51

So far so good... let's try to divide by that number again.

No good. So next you try the next prime number, which is 3...

No good. So next you try the next prime number, which is 5...

No good. So next you try the next prime number, which is 7...

No good. So next you try the next prime number, which is 11...

No good. So next you try the next prime number, which is 13...

No good. So next you try the next prime number, which is 17...

No good. So next you try the next prime number, which is 19...

No good. So next you try the next prime number, which is 23...

No good. So next you try the next prime number, which is 29...

No good. So next you try the next prime number, which is 31...

No good. So next you try the next prime number, which is 37...

No good. So next you try the next prime number, which is 41...

No good. So next you try the next prime number, which is 43...

No good. So next you try the next prime number, which is 47...

No good. So next you try the next prime number, which is 53...

No good. 53 is larger than 51. So we're done reducing.

And we're done! Here's the final answer to 20/17 + 4/12

20
17
 +
4
12
 =
77
51
© 2014 Randy Tayler

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