math help

What is 25/9 + 7/8?

What is 25/9 + 7/8?

Here's how to add

25
9
+
7
8

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 8, and get 200, then we multiply 9 by 8 and get 72.

25/9 times 8

Now for the second term. You multiply 7 by 9, and get 63, then multiply 9 by 8 and get 72.

7/8 times 9

This gives us a new problem that looks like so:

200
72
+
63
72

Step 2

Since our denominators match, we can add the numerators.

200 + 63 = 263

That gives us an answer of

263
72

Step 3

Can this fraction be reduced?

First, we attempt to divide it by 2...

Nope. Try the next prime number, 3...

Nope. Try the next prime number, 5...

Nope. Try the next prime number, 7...

Nope. Try the next prime number, 11...

Nope. Try the next prime number, 13...

Nope. Try the next prime number, 17...

Nope. Try the next prime number, 19...

Nope. Try the next prime number, 23...

Nope. Try the next prime number, 29...

Nope. Try the next prime number, 31...

Nope. Try the next prime number, 37...

Nope. Try the next prime number, 41...

Nope. Try the next prime number, 43...

Nope. Try the next prime number, 47...

Nope. Try the next prime number, 53...

Nope. Try the next prime number, 59...

Nope. Try the next prime number, 61...

Nope. Try the next prime number, 67...

Nope. Try the next prime number, 71...

Nope. Try the next prime number, 73...

No good. 73 is larger than 72. So we're done reducing.

Congratulations! Here's your final answer to 25/9 + 7/8

25
9
+
7
8
=
263
72
© 2014 Randy Tayler