math help

What is 91/6 + 8/10?

What is 91/6 + 8/10?

This is how we add

91
6
+
8
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 91 by 10, and get 910, then we multiply 6 by 10 and get 60.

91/6 times 10

Now for the second term. You multiply 8 by 6, and get 48, then multiply 6 by 10 and get 60.

8/10 times 6

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

910
60
+
48
60

Step 2

Since our denominators match, we can add the numerators.

910 + 48 = 958

Answer:

958
60

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:

958
60
÷ 2 =
479
30

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...

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

Congratulations! Here's your final answer to 91/6 + 8/10

91
6
+
8
10
=
479
30
© 2014 Randy Tayler