Here's how we 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 9 by 4, and get 36, then we multiply 10 by 4 and get 40. Now for the second term. You multiply 2 by 10, and get 20, then multiply 10 by 4 and get 40. This gives us a new problem that looks like so:
|
||||||||||||||||||||||||||||||||
Step 2Since our denominators match, we can add the numerators. 36 + 20 = 56 That gives us an answer of
|
||||||||||||||||||||||||||||||||
Step 3Can this fraction be reduced? First, we attempt to divide 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. Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
Now, try the same number again. 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... No good. 7 is larger than 5. So we're done reducing. Congratulations! Here's your final answer to 9/10 + 2/4
|