math help

What is 25/9 + 2/5?

What is 25/9 + 2/5?

This is how to add

25
9
+
2
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 25 by 5, and get 125, then we multiply 9 by 5 and get 45.

25/9 times 5

Now for the second term. You multiply 2 by 9, and get 18, then multiply 9 by 5 and get 45.

2/5 times 9

This gives us a new problem that looks like so:

125
45
+
18
45

Step 2

Since our denominators match, we can add the numerators.

125 + 18 = 143

That gives us an answer of

143
45

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. 47 is larger than 45. So we're done reducing.

And we're done! Here's the final answer to 25/9 + 2/5

25
9
+
2
5
=
143
45
© 2014 Randy Tayler