math help

What is 91/6 + 2/8?

What is 91/6 + 2/8?

This is how you add

91
6
+
2
8

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 8, and get 728, then we multiply 6 by 8 and get 48.

91/6 times 8

Now for the second term. You multiply 2 by 6, and get 12, then multiply 6 by 8 and get 48.

2/8 times 6

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

728
48
+
12
48

Step 2

Since our denominators match, we can add the numerators.

728 + 12 = 740

Answer:

740
48

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:

740
48
÷ 2 =
370
24

So far so good... let's try to divide by that number again.

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

370
24
÷ 2 =
185
12

So far so good... let's try to divide by that number again.

No good. So next you try the next prime number, which is 3...

No good. So next you try the next prime number, which is 5...

No good. So next you try the next prime number, which is 7...

No good. So next you try the next prime number, which is 11...

No good. So next you try the next prime number, which is 13...

No good. 13 is larger than 12. So we're done reducing.

And we're done! Here's the final answer to 91/6 + 2/8

91
6
+
2
8
=
185
12
© 2014 Randy Tayler