math help

What is 45/4 + 7/9?

What is 45/4 + 7/9?

This is how you add

45
4
+
7
9

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 9, and get 405, then we multiply 4 by 9 and get 36.

45/4 times 9

Now for the second term. You multiply 7 by 4, and get 28, then multiply 4 by 9 and get 36.

7/9 times 4

This gives us a new problem that looks like so:

405
36
+
28
36

Step 2

Since our denominators match, we can add the numerators.

405 + 28 = 433

That gives us an answer of

433
36

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. 37 is larger than 36. So we're done reducing.

And we're done! Here's the final answer to 45/4 + 7/9

45
4
+
7
9
=
433
36
© 2014 Randy Tayler