math help

What is 88/15 + 5/10?

What is 88/15 + 5/10?

This is how to add

88
15
+
5
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 88 by 10, and get 880, then we multiply 15 by 10 and get 150.

88/15 times 10

Do the same for the second term. We multiply 5 by 15, and get 75, then multiply 15 by 10 and get 150.

5/10 times 15

The problem now has new fractions to add:

880
150
+
75
150

Step 2

Since our denominators match, we can add the numerators.

880 + 75 = 955

The sum we get is

955
150

Step 3

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

To find out, we try dividing 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:

955
150
÷ 5 =
191
30

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...

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...

No good. 31 is larger than 30. So we're done reducing.

Congratulations! Here's your final answer to 88/15 + 5/10

88
15
+
5
10
=
191
30
© 2014 Randy Tayler