math help

What is 12/13 + 1/8?

What is 12/13 + 1/8?

This is how to add

12
13
+
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 12 by 8, and get 96, then we multiply 13 by 8 and get 104.

12/13 times 8

Do the same for the second term. We multiply 1 by 13, and get 13, then multiply 13 by 8 and get 104.

1/8 times 13

The problem now has new fractions to add:

96
104
+
13
104

Step 2

Since our denominators match, we can add the numerators.

96 + 13 = 109

This yields the answer

109
104

Step 3

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

To find out, we try dividing 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...

Nope. Try the next prime number, 37...

Nope. Try the next prime number, 41...

Nope. Try the next prime number, 43...

Nope. Try the next prime number, 47...

Nope. Try the next prime number, 53...

Nope. Try the next prime number, 59...

Nope. Try the next prime number, 61...

Nope. Try the next prime number, 67...

Nope. Try the next prime number, 71...

Nope. Try the next prime number, 73...

Nope. Try the next prime number, 79...

Nope. Try the next prime number, 83...

Nope. Try the next prime number, 89...

Nope. Try the next prime number, 97...

Nope. Try the next prime number, 101...

Nope. Try the next prime number, 103...

Nope. Try the next prime number, 107...

No good. 107 is larger than 104. So we're done reducing.

Congratulations! Here's your final answer to 12/13 + 1/8

12
13
+
1
8
=
109
104
© 2014 Randy Tayler