math help

What is 91/6 + 1/5?

What is 91/6 + 1/5?

Here's how you add

91
6
+
1
5

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 5, and get 455, then we multiply 6 by 5 and get 30.

91/6 times 5

Now for the second term. You multiply 1 by 6, and get 6, then multiply 6 by 5 and get 30.

1/5 times 6

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

455
30
+
6
30

Step 2

Since our denominators match, we can add the numerators.

455 + 6 = 461

That gives us the sum, which is

461
30

Step 3

Now, do we need to simplify this fraction?

First, we attempt to divide 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...

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

Congratulations! Here's your final answer to 91/6 + 1/5

91
6
+
1
5
=
461
30
© 2014 Randy Tayler