What is 100/72 + 2/4?
|
This is how we add
|
||||||||||||||||||||||||||||||||
Step 1Our denominators (bottom numbers) don't match, so we can't add yet. Since 4 is evenly divided by 72, we can multiply just one term to get a common denominator. Multiply 2 by 18, and get 36, then we multiply 4 by 18 and get 72. The problem now has new fractions to add:
|
||||||||||||||||||||||||||||||||
Step 2Since our denominators match, we can add the numerators. 100 + 36 = 136 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. 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... Nope. Try the next prime number, 11... No good. 11 is larger than 9. So we're done reducing. Congratulations! Here's your final answer to 100/72 + 2/4
|