math help

What is 15/11 + 4/5?

What is 15/11 + 4/5?

Here's how to add

15
11
+
4
5

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 15 by 5, and get 75, then we multiply 11 by 5 and get 55.

15/11 times 5

Now for the second term. You multiply 4 by 11, and get 44, then multiply 11 by 5 and get 55.

4/5 times 11

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

75
55
+
44
55

Step 2

Since our denominators match, we can add the numerators.

75 + 44 = 119

Answer:

119
55

Step 3

Now, do we need to simplify this fraction?

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 15/11 + 4/5

15
11
+
4
5
=
119
55
© 2014 Randy Tayler