math help

What is 24/5 + 1/11?

What is 24/5 + 1/11?

This is how to add

24
5
+
1
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 1 by 5, and get 5, then multiply 5 by 11 and get 55.

1/11 times 5

This gives us a new problem that looks like so:

264
55
+
5
55

Step 2

Since our denominators match, we can add the numerators.

264 + 5 = 269

That gives us an answer of

269
55

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. 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. So next you try the next prime number, which is 59...

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

And we're done! Here's the final answer to 24/5 + 1/11

24
5
+
1
11
=
269
55
© 2014 Randy Tayler