math help

What is 45/3 + 6/11?

What is 45/3 + 6/11?

This is how you add

45
3
+
6
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 45 by 11, and get 495, then we multiply 3 by 11 and get 33.

45/3 times 11

Now for the second term. You multiply 6 by 3, and get 18, then multiply 3 by 11 and get 33.

6/11 times 3

This gives us a new problem that looks like so:

495
33
+
18
33

Step 2

Since our denominators match, we can add the numerators.

495 + 18 = 513

That gives us an answer of

513
33

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...

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:

513
33
÷ 3 =
171
11

So far so good... let's try to divide by that number again.

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. 13 is larger than 11. So we're done reducing.

And we're done! Here's the final answer to 45/3 + 6/11

45
3
+
6
11
=
171
11
© 2014 Randy Tayler