What is 11/12 + 2/9?
|
This is how to add
|
||||||||||||||||||
Step 1Of 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 11 by 9, and get 99, then we multiply 12 by 9 and get 108. Do the same for the second term. We multiply 2 by 12, and get 24, then multiply 12 by 9 and get 108. The problem now has new fractions to add:
|
||||||||||||||||||
Step 2Since our denominators match, we can add the numerators. 99 + 24 = 123 This yields the answer
|
||||||||||||||||||
Step 3The 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:
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... No good. 37 is larger than 36. So we're done reducing. Congratulations! Here's your final answer to 11/12 + 2/9
|