What is 48/30 + 6/7?
|
Here's how to 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 48 by 7, and get 336, then we multiply 30 by 7 and get 210. Now for the second term. You multiply 6 by 30, and get 180, then multiply 30 by 7 and get 210. We now have a new problem, that looks like this:
|
|||||||||||||||||||||||||
Step 2Since our denominators match, we can add the numerators. 336 + 180 = 516 Answer:
|
|||||||||||||||||||||||||
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. Nope. Try the next prime number, 3... Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:
Now, try the same number again. 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... No good. 37 is larger than 35. So we're done reducing. Congratulations! Here's your final answer to 48/30 + 6/7
|