What is 25/36 + 10/11?
|
Here's 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 25 by 11, and get 275, then we multiply 36 by 11 and get 396. Do the same for the second term. We multiply 10 by 36, and get 360, then multiply 36 by 11 and get 396. The problem now has new fractions to add:
|
|||||||||||
Step 2Since our denominators match, we can add the numerators. 275 + 360 = 635 This yields the answer
|
|||||||||||
Step 3The last step is to reduce the fraction if we can. 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... Nope. Try the next prime number, 97... Nope. Try the next prime number, 101... Nope. Try the next prime number, 103... Nope. Try the next prime number, 107... Nope. Try the next prime number, 109... Nope. Try the next prime number, 113... Nope. Try the next prime number, 127... Nope. Try the next prime number, 131... Nope. Try the next prime number, 137... Nope. Try the next prime number, 139... Nope. Try the next prime number, 149... Nope. Try the next prime number, 151... Nope. Try the next prime number, 157... Nope. Try the next prime number, 163... Nope. Try the next prime number, 167... Nope. Try the next prime number, 173... Nope. Try the next prime number, 179... Nope. Try the next prime number, 181... Nope. Try the next prime number, 191... Nope. Try the next prime number, 193... Nope. Try the next prime number, 197... Nope. Try the next prime number, 199... Nope. Try the next prime number, 211... Nope. Try the next prime number, 223... Nope. Try the next prime number, 227... Nope. Try the next prime number, 229... Nope. Try the next prime number, 233... Nope. Try the next prime number, 239... Nope. Try the next prime number, 241... Nope. Try the next prime number, 251... Nope. Try the next prime number, 257... Nope. Try the next prime number, 263... Nope. Try the next prime number, 269... Nope. Try the next prime number, 271... Nope. Try the next prime number, 277... Nope. Try the next prime number, 281... Nope. Try the next prime number, 283... Nope. Try the next prime number, 293... Nope. Try the next prime number, 307... Nope. Try the next prime number, 311... Nope. Try the next prime number, 313... Nope. Try the next prime number, 317... Nope. Try the next prime number, 331... Nope. Try the next prime number, 337... Nope. Try the next prime number, 347... Nope. Try the next prime number, 349... Nope. Try the next prime number, 353... Nope. Try the next prime number, 359... Nope. Try the next prime number, 367... Nope. Try the next prime number, 373... Nope. Try the next prime number, 379... Nope. Try the next prime number, 383... Nope. Try the next prime number, 389... Nope. Try the next prime number, 397... No good. 397 is larger than 396. So we're done reducing. Congratulations! Here's your final answer to 25/36 + 10/11
|