math help

What is 99/7 + 5/10?

What is 99/7 + 5/10?

This is how you add

99
7
+
5
10

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 10, and get 990, then we multiply 7 by 10 and get 70.

99/7 times 10

Now for the second term. You multiply 5 by 7, and get 35, then multiply 7 by 10 and get 70.

5/10 times 7

This gives us a new problem that looks like so:

990
70
+
35
70

Step 2

Since our denominators match, we can add the numerators.

990 + 35 = 1025

That gives us an answer of

1025
70

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...

Are both the numerator and the denominator evenly divisible by 5? Yes! So we reduce it:

1025
70
÷ 5 =
205
14

Now, try the same number again.

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 + 5/10

99
7
+
5
10
=
205
14
© 2014 Randy Tayler