What is 10/3 + 9/11?
|
Here's how you add
|
|||||||||||
Step 1We still have different denominators (bottom numbers), though, so we need to get a common denominator. This will make the bottom numbers match. Multiply the denominators together first. Now, multiply each numerator by the other term's denominator. Now we multiply 10 by 11, and get 110, then we multiply 3 by 11 and get 33. Now for the second term. You multiply 9 by 3, and get 27, then multiply 3 by 11 and get 33. This gives us a new problem that looks like so:
|
|||||||||||
Step 2Since our denominators match, we can add the numerators. 110 + 27 = 137 That gives us an answer of
|
|||||||||||
Step 3Can this fraction be reduced? First, we attempt to divide it by 2... Nope! So now we try the next greatest prime number, 3... 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... No good. 37 is larger than 33. So we're done reducing. There you have it! Here's the final answer to 10/3 + 9/11
|