What is 28/100 + 11/12?
|
Here's how we add
|
|||||||||||||||||||||||||
Step 1Can you add yet? Nope! The denominators don't match. We need a common denominator. So next we take both denominators and multiply them. Next, take each numerator and multiply it by the denominator of the other term. So, we multiply 28 by 12, and get 336, then we multiply 100 by 12 and get 1200. Now for the second term. You multiply 11 by 100, and get 1100, then multiply 100 by 12 and get 1200. We now have a new problem, that looks like this:
|
|||||||||||||||||||||||||
Step 2Since our denominators match, we can add the numerators. 336 + 1100 = 1436 That gives us the sum, which is
|
|||||||||||||||||||||||||
Step 3Now, do we need to simplify this fraction? 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. 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... Nope. Try the next prime number, 47... Nope. Try the next prime number, 53... Nope. Try the next prime number, 59... Nope. Try the next prime number, 61... Nope. Try the next prime number, 67... Nope. Try the next prime number, 71... Nope. Try the next prime number, 73... Nope. Try the next prime number, 79... Nope. Try the next prime number, 83... Nope. Try the next prime number, 89... Nope. Try the next prime number, 97... Nope. Try the next prime number, 101... Nope. Try the next prime number, 103... Nope. Try the next prime number, 107... Nope. Try the next prime number, 109... Nope. Try the next prime number, 113... Nope. Try the next prime number, 127... Nope. Try the next prime number, 131... Nope. Try the next prime number, 137... Nope. Try the next prime number, 139... Nope. Try the next prime number, 149... Nope. Try the next prime number, 151... Nope. Try the next prime number, 157... Nope. Try the next prime number, 163... Nope. Try the next prime number, 167... Nope. Try the next prime number, 173... Nope. Try the next prime number, 179... Nope. Try the next prime number, 181... Nope. Try the next prime number, 191... Nope. Try the next prime number, 193... Nope. Try the next prime number, 197... Nope. Try the next prime number, 199... Nope. Try the next prime number, 211... Nope. Try the next prime number, 223... Nope. Try the next prime number, 227... Nope. Try the next prime number, 229... Nope. Try the next prime number, 233... Nope. Try the next prime number, 239... Nope. Try the next prime number, 241... Nope. Try the next prime number, 251... Nope. Try the next prime number, 257... Nope. Try the next prime number, 263... Nope. Try the next prime number, 269... Nope. Try the next prime number, 271... Nope. Try the next prime number, 277... Nope. Try the next prime number, 281... Nope. Try the next prime number, 283... Nope. Try the next prime number, 293... Nope. Try the next prime number, 307... No good. 307 is larger than 300. So we're done reducing. Congratulations! Here's your final answer to 28/100 + 11/12
|