math help

What is 99/7 + 1/5?

What is 99/7 + 1/5?

Here's how to add

99
7
+
1
5

Step 1

We can't add two fractions with different denominators (the bottom number). So you need to get a common denominator - both bottom numbers need to match. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 99 by 5, and get 495, then we multiply 7 by 5 and get 35.

99/7 times 5

Do the same for the second term. We multiply 1 by 7, and get 7, then multiply 7 by 5 and get 35.

1/5 times 7

So now our fractions look like this:

495
35
+
7
35

Step 2

Since our denominators match, we can add the numerators.

495 + 7 = 502

So the answer is:

502
35

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing 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...

No good. 37 is larger than 35. So we're done reducing.

Congratulations! Here's your final answer to 99/7 + 1/5

99
7
+
1
5
=
502
35
© 2014 Randy Tayler