math help

What is 24/5 + 5/7?

What is 24/5 + 5/7?

This is how to add

24
5
+
5
7

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 24 by 7, and get 168, then we multiply 5 by 7 and get 35.

24/5 times 7

Now for the second term. You multiply 5 by 5, and get 25, then multiply 5 by 7 and get 35.

5/7 times 5

This gives us a new problem that looks like so:

168
35
+
25
35

Step 2

Since our denominators match, we can add the numerators.

168 + 25 = 193

That gives us an answer of

193
35

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 35. So we're done reducing.

And we're done! Here's the final answer to 24/5 + 5/7

24
5
+
5
7
=
193
35
© 2014 Randy Tayler