math help

What is 10/11 + 3/5?

What is 10/11 + 3/5?

Let's add

10
11
+
3
5

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 10 by 5, and get 50, then we multiply 11 by 5 and get 55.

10/11 times 5

Now for the second term. You multiply 3 by 11, and get 33, then multiply 11 by 5 and get 55.

3/5 times 11

This gives us a new problem that looks like so:

50
55
+
33
55

Step 2

Since our denominators match, we can add the numerators.

50 + 33 = 83

So what's the answer so far?

83
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 10/11 + 3/5

10
11
+
3
5
=
83
55
© 2014 Randy Tayler