math help

What is 91/6 + 5/8?

What is 91/6 + 5/8?

Here's how you add

91
6
+
5
8

Step 1

Of course, you can't add two fractions if the denominators (bottom numbers) don't match. To get a common denominator, multiply the denominators together. Then we fix the numerators by multiplying each one by their other term's denominator.

Now you multiply 91 by 8, and get 728, then we multiply 6 by 8 and get 48.

91/6 times 8

Do the same for the second term. We multiply 5 by 6, and get 30, then multiply 6 by 8 and get 48.

5/8 times 6

The problem now has new fractions to add:

728
48
+
30
48

Step 2

Since our denominators match, we can add the numerators.

728 + 30 = 758

The sum we get is

758
48

Step 3

The last step is to reduce the fraction if we can.

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

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

758
48
÷ 2 =
379
24

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. 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. 29 is larger than 24. So we're done reducing.

And we're done! Here's the final answer to 91/6 + 5/8

91
6
+
5
8
=
379
24
© 2014 Randy Tayler