What is 21/11 + 3/5?
|
Here's how you 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 21 by 5, and get 105, then we multiply 11 by 5 and get 55. Do the same for the second term. We multiply 3 by 11, and get 33, then multiply 11 by 5 and get 55. So now our fractions look like this:
|
|||||||||||
Step 2Since our denominators match, we can add the numerators. 105 + 33 = 138 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... 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... No good. 59 is larger than 55. So we're done reducing. Congratulations! Here's your final answer to 21/11 + 3/5
|