math help

What is 99/7 + 2/10?

What is 99/7 + 2/10?

This is how to add

99
7
+
2
10

Step 1

Of course, you can't add two fractions if the denominators (bottom numbers) don't match. To get a common denominator, multiply the denominators together. Then we fix the numerators by multiplying each one by their other term's denominator.

Now you multiply 99 by 10, and get 990, then we multiply 7 by 10 and get 70.

99/7 times 10

Do the same for the second term. We multiply 2 by 7, and get 14, then multiply 7 by 10 and get 70.

2/10 times 7

The problem now has new fractions to add:

990
70
+
14
70

Step 2

Since our denominators match, we can add the numerators.

990 + 14 = 1004

The sum we get is

1004
70

Step 3

The last step is to reduce the fraction if we can.

To find out, we try dividing it by 2...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

1004
70
÷ 2 =
502
35

Now, try the same number again.

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 + 2/10

99
7
+
2
10
=
502
35
© 2014 Randy Tayler