math help

What is 24/26 + 1/2?

What is 24/26 + 1/2?

Here's how we add

24
26
+
1
2

Step 1

We have to make sure the denominators are equal.

26 goes into 2 evenly, so we only need to multiply one term to get a common denominator.

Multiply 1 by 13, and get 13, then we multiply 2 by 13 and get 26.

1/2 times 13

This gives us a new problem that looks like so:

24
26
+
13
26

Step 2

Since our denominators match, we can add the numerators.

24 + 13 = 37

So what's the answer so far?

37
26

Step 3

Can this fraction be reduced?

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

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. 29 is larger than 26. So we're done reducing.

And we're done! Here's the final answer to 24/26 + 1/2

24
26
+
1
2
=
37
26
© 2014 Randy Tayler