What is 49/9 + 2/12?
|
This is 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 49 by 12, and get 588, then we multiply 9 by 12 and get 108. Do the same for the second term. We multiply 2 by 9, and get 18, then multiply 9 by 12 and get 108. So now our fractions look like this:
|
|||||||||||||||||||||||||
Step 2Since our denominators match, we can add the numerators. 588 + 18 = 606 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:
Let's try dividing by that again... Nope! So now we try the next greatest prime number, 3... Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:
Let's try dividing by that again... Nope! So now we try the next greatest prime number, 5... Nope! So now we try the next greatest prime number, 7... Nope! So now we try the next greatest prime number, 11... Nope! So now we try the next greatest prime number, 13... Nope! So now we try the next greatest prime number, 17... Nope! So now we try the next greatest prime number, 19... No good. 19 is larger than 18. So we're done reducing. There you have it! Here's the final answer to 49/9 + 2/12
|