math help

What is 91/6 + 1/8?

What is 91/6 + 1/8?

Let's add

91
6
+
1
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 1 by 6, and get 6, then multiply 6 by 8 and get 48.

1/8 times 6

The problem now has new fractions to add:

728
48
+
6
48

Step 2

Since our denominators match, we can add the numerators.

728 + 6 = 734

This yields the answer

734
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:

734
48
÷ 2 =
367
24

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...

No good. 29 is larger than 24. So we're done reducing.

Congratulations! Here's your final answer to 91/6 + 1/8

91
6
+
1
8
=
367
24
© 2014 Randy Tayler