What is 12/13 + 4/5?
|
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 12 by 5, and get 60, then we multiply 13 by 5 and get 65. Do the same for the second term. We multiply 4 by 13, and get 52, then multiply 13 by 5 and get 65. The problem now has new fractions to add:
|
|||||||||||
Step 2Since our denominators match, we can add the numerators. 60 + 52 = 112 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... 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... No good. 67 is larger than 65. So we're done reducing. Congratulations! Here's your final answer to 12/13 + 4/5
|