What is 55/55 + 10/12?
|
This is how to 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 55 by 12, and get 660, then we multiply 55 by 12 and get 660. Do the same for the second term. We multiply 10 by 55, and get 550, then multiply 55 by 12 and get 660. So now our fractions look like this:
|
||||||||||||||||||||||||||||||||
Step 2Since our denominators match, we can add the numerators. 660 + 550 = 1210 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... 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... Nope! So now we try the next greatest prime number, 5... Are both the numerator and the denominator evenly divisible by 5? Yes! So we reduce it:
Let's try dividing by that again... Nope! So now we try the next greatest prime number, 7... Nope! So now we try the next greatest prime number, 11... Are both the numerator and the denominator evenly divisible by 11? Yes! So we reduce it:
Let's try dividing by that again... No good. 11 is larger than 6. So we're done reducing. There you have it! Here's the final answer to 55/55 + 10/12
|