math help

What is 49/9 + 3/4?

What is 49/9 + 3/4?

This is how you add

49
9
+
3
4

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 49 by 4, and get 196, then we multiply 9 by 4 and get 36.

49/9 times 4

Now for the second term. You multiply 3 by 9, and get 27, then multiply 9 by 4 and get 36.

3/4 times 9

This gives us a new problem that looks like so:

196
36
+
27
36

Step 2

Since our denominators match, we can add the numerators.

196 + 27 = 223

That gives us an answer of

223
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 49/9 + 3/4

49
9
+
3
4
=
223
36
© 2014 Randy Tayler