math help

What is 12/13 + 2/4?

What is 12/13 + 2/4?

This is how we add

12
13
+
2
4

Step 1

Can you add yet? Nope! The denominators don't match. We need a common denominator. So next we take both denominators and multiply them. Next, take each numerator and multiply it by the denominator of the other term.

So, we multiply 12 by 4, and get 48, then we multiply 13 by 4 and get 52.

12/13 times 4

Now for the second term. You multiply 2 by 13, and get 26, then multiply 13 by 4 and get 52.

2/4 times 13

We now have a new problem, that looks like this:

48
52
+
26
52

Step 2

Since our denominators match, we can add the numerators.

48 + 26 = 74

That gives us the sum, which is

74
52

Step 3

Now, do we need to simplify this fraction?

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

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

74
52
÷ 2 =
37
26

Now, try the same number again.

Nope. Try the next prime number, 3...

Nope. Try the next prime number, 5...

Nope. Try the next prime number, 7...

Nope. Try the next prime number, 11...

Nope. Try the next prime number, 13...

Nope. Try the next prime number, 17...

Nope. Try the next prime number, 19...

Nope. Try the next prime number, 23...

Nope. Try the next prime number, 29...

No good. 29 is larger than 26. So we're done reducing.

Congratulations! Here's your final answer to 12/13 + 2/4

12
13
+
2
4
=
37
26
© 2014 Randy Tayler