math help

What is 91/6 + 2/5?

What is 91/6 + 2/5?

This is how to add

91
6
+
2
5

Step 1

We can't add two fractions with different denominators (the bottom number). So you need to get a common denominator - both bottom numbers need to match. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 91 by 5, and get 455, then we multiply 6 by 5 and get 30.

91/6 times 5

Do the same for the second term. We multiply 2 by 6, and get 12, then multiply 6 by 5 and get 30.

2/5 times 6

So now our fractions look like this:

455
30
+
12
30

Step 2

Since our denominators match, we can add the numerators.

455 + 12 = 467

So the answer is:

467
30

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing it by 2...

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. So next you try the next prime number, which is 17...

No good. So next you try the next prime number, which is 19...

No good. So next you try the next prime number, which is 23...

No good. So next you try the next prime number, which is 29...

No good. So next you try the next prime number, which is 31...

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

And we're done! Here's the final answer to 91/6 + 2/5

91
6
+
2
5
=
467
30
© 2014 Randy Tayler