math help

What is 88/15 + 2/10?

What is 88/15 + 2/10?

This is how we add

88
15
+
2
10

Step 1

Can you add yet? Nope! The denominators don't match. We need a common denominator. So next we take both denominators and multiply them. Next, take each numerator and multiply it by the denominator of the other term.

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

88/15 times 10

Now for the second term. You multiply 2 by 15, and get 30, then multiply 15 by 10 and get 150.

2/10 times 15

We now have a new problem, that looks like this:

880
150
+
30
150

Step 2

Since our denominators match, we can add the numerators.

880 + 30 = 910

Answer:

910
150

Step 3

Now, do we need to simplify this fraction?

First, we attempt to divide it by 2...

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

910
150
÷ 2 =
455
75

Now, try the same number again.

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:

455
75
÷ 5 =
91
15

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 15. So we're done reducing.

Congratulations! Here's your final answer to 88/15 + 2/10

88
15
+
2
10
=
91
15
© 2014 Randy Tayler