What is 88/15 + 2/9?
|
This is how you 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 88 by 9, and get 792, then we multiply 15 by 9 and get 135. Do the same for the second term. We multiply 2 by 15, and get 30, then multiply 15 by 9 and get 135. The problem now has new fractions to add:
|
||||||||||||||||||
Step 2Since our denominators match, we can add the numerators. 792 + 30 = 822 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! So now we try the next greatest prime number, 3... Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:
Let's try dividing by that again... Nope! So now we try the next greatest prime number, 5... Nope! So now we try the next greatest prime number, 7... Nope! So now we try the next greatest prime number, 11... Nope! So now we try the next greatest prime number, 13... Nope! So now we try the next greatest prime number, 17... Nope! So now we try the next greatest prime number, 19... Nope! So now we try the next greatest prime number, 23... Nope! So now we try the next greatest prime number, 29... Nope! So now we try the next greatest prime number, 31... Nope! So now we try the next greatest prime number, 37... Nope! So now we try the next greatest prime number, 41... Nope! So now we try the next greatest prime number, 43... Nope! So now we try the next greatest prime number, 47... No good. 47 is larger than 45. So we're done reducing. There you have it! Here's the final answer to 88/15 + 2/9
|