What is 31/12 + 2/7?
|
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 31 by 7, and get 217, then we multiply 12 by 7 and get 84. Do the same for the second term. We multiply 2 by 12, and get 24, then multiply 12 by 7 and get 84. So now our fractions look like this:
|
|||||||||||
Step 2Since our denominators match, we can add the numerators. 217 + 24 = 241 Now we have an answer.
|
|||||||||||
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... 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... No good. 89 is larger than 84. So we're done reducing. Congratulations! Here's your final answer to 31/12 + 2/7
|