What is 100/24 + 1/11?
|
This is how we add
|
|||||||||||||||||||||||||
Step 1We can't add two fractions with different denominators (the bottom number). So you need to get a common denominator - both bottom numbers need to match. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator. So we multiply 100 by 11, and get 1100, then we multiply 24 by 11 and get 264. Do the same for the second term. We multiply 1 by 24, and get 24, then multiply 24 by 11 and get 264. So now our fractions look like this:
|
|||||||||||||||||||||||||
Step 2Since our denominators match, we can add the numerators. 1100 + 24 = 1124 So the answer is:
|
|||||||||||||||||||||||||
Step 3Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction? 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. 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... No good. 67 is larger than 66. So we're done reducing. Congratulations! Here's your final answer to 100/24 + 1/11
|