math help

What is 5/12 + 6/11?

What is 5/12 + 6/11?

This is how to add

5
12
 +
6
11

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 5 by 11, and get 55, then we multiply 12 by 11 and get 132.

5/12 times 11

Do the same for the second term. We multiply 6 by 12, and get 72, then multiply 12 by 11 and get 132.

6/11 times 12

The problem now has new fractions to add:

55
132
 +
72
132

Step 2

Since our denominators match, we can add the numerators.

55 + 72 = 127

This yields the answer

127
132

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...

Nope. Try the next prime number, 109...

Nope. Try the next prime number, 113...

Nope. Try the next prime number, 127...

Nope. Try the next prime number, 131...

No good. 131 is larger than 127. So we're done reducing.

Congratulations! Here's your final answer to 5/12 + 6/11

5
12
 +
6
11
 =
127
132
© 2014 Randy Tayler

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