math help

What is 2/11 + 9/12?

What is 2/11 + 9/12?

This is how to add

2
11
 +
9
12

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 2 by 12, and get 24, then we multiply 11 by 12 and get 132.

2/11 times 12

Do the same for the second term. We multiply 9 by 11, and get 99, then multiply 11 by 12 and get 132.

9/12 times 11

The problem now has new fractions to add:

24
132
 +
99
132

Step 2

Since our denominators match, we can add the numerators.

24 + 99 = 123

This yields the answer

123
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...

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:

123
132
 ÷ 3 =
41
44

Now, try the same number again.

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...

No good. 43 is larger than 41. So we're done reducing.

Congratulations! Here's your final answer to 2/11 + 9/12

2
11
 +
9
12
 =
41
44
© 2014 Randy Tayler

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