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 10 by 7, and get 70, then we multiply 12 by 7 and get 84. Do the same for the second term. We multiply 5 by 12, and get 60, then multiply 12 by 7 and get 84. The problem now has new fractions to add:


Step 2Since our denominators match, we can add the numerators. 70 + 60 = 130 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... Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
Now, try the same number again. 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... No good. 43 is larger than 42. So we're done reducing. Congratulations! Here's your final answer to 10/12 + 5/7
