math help

What is 24/5 + 9/11?

What is 24/5 + 9/11?

Here's how to add

24
5
+
9
11

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 24 by 11, and get 264, then we multiply 5 by 11 and get 55.

24/5 times 11

Now for the second term. You multiply 9 by 5, and get 45, then multiply 5 by 11 and get 55.

9/11 times 5

This gives us a new problem that looks like so:

264
55
+
45
55

Step 2

Since our denominators match, we can add the numerators.

264 + 45 = 309

That gives us an answer of

309
55

Step 3

Can this fraction be reduced?

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

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...

Nope. Try the next prime number, 31...

Nope. Try the next prime number, 37...

Nope. Try the next prime number, 41...

Nope. Try the next prime number, 43...

Nope. Try the next prime number, 47...

Nope. Try the next prime number, 53...

Nope. Try the next prime number, 59...

No good. 59 is larger than 55. So we're done reducing.

Congratulations! Here's your final answer to 24/5 + 9/11

24
5
+
9
11
=
309
55
© 2014 Randy Tayler