What is 13/6 + 3/8?
|
This is how you add
|
||||||||||||||||||
Step 1Of course, you can't add two fractions if the denominators (bottom numbers) don't match. To get a common denominator, multiply the denominators together. Then we fix the numerators by multiplying each one by their other term's denominator. Now you multiply 13 by 8, and get 104, then we multiply 6 by 8 and get 48. Do the same for the second term. We multiply 3 by 6, and get 18, then multiply 6 by 8 and get 48. The problem now has new fractions to add:
|
||||||||||||||||||
Step 2Since our denominators match, we can add the numerators. 104 + 18 = 122 The sum we get is
|
||||||||||||||||||
Step 3The last step is to reduce the fraction if we can. 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... 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... Nope! So now we try the next greatest prime number, 23... Nope! So now we try the next greatest prime number, 29... No good. 29 is larger than 24. So we're done reducing. There you have it! Here's the final answer to 13/6 + 3/8
|