math help

What is 99/7 + 1/2?

What is 99/7 + 1/2?

Here's how we add

99
7
+
1
2

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 99 by 2, and get 198, then we multiply 7 by 2 and get 14.

99/7 times 2

Now for the second term. You multiply 1 by 7, and get 7, then multiply 7 by 2 and get 14.

1/2 times 7

This gives us a new problem that looks like so:

198
14
+
7
14

Step 2

Since our denominators match, we can add the numerators.

198 + 7 = 205

So what's the answer so far?

205
14

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...

No good. 17 is larger than 14. So we're done reducing.

Congratulations! Here's your final answer to 99/7 + 1/2

99
7
+
1
2
=
205
14
© 2014 Randy Tayler