What is 63/58 + 7/12?
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Here's how to add
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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 63 by 12, and get 756, then we multiply 58 by 12 and get 696. Do the same for the second term. We multiply 7 by 58, and get 406, then multiply 58 by 12 and get 696. So now our fractions look like this:
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Step 2Since our denominators match, we can add the numerators. 756 + 406 = 1162 Now we have an answer.
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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:
So far so good... let's try to divide by that number again. No good. So next you try the next prime number, which is 3... No good. So next you try the next prime number, which is 5... No good. So next you try the next prime number, which is 7... No good. So next you try the next prime number, which is 11... No good. So next you try the next prime number, which is 13... No good. So next you try the next prime number, which is 17... No good. So next you try the next prime number, which is 19... No good. So next you try the next prime number, which is 23... No good. So next you try the next prime number, which is 29... No good. So next you try the next prime number, which is 31... No good. So next you try the next prime number, which is 37... No good. So next you try the next prime number, which is 41... No good. So next you try the next prime number, which is 43... No good. So next you try the next prime number, which is 47... No good. So next you try the next prime number, which is 53... No good. So next you try the next prime number, which is 59... No good. So next you try the next prime number, which is 61... No good. So next you try the next prime number, which is 67... No good. So next you try the next prime number, which is 71... No good. So next you try the next prime number, which is 73... No good. So next you try the next prime number, which is 79... No good. So next you try the next prime number, which is 83... No good. So next you try the next prime number, which is 89... No good. So next you try the next prime number, which is 97... No good. So next you try the next prime number, which is 101... No good. So next you try the next prime number, which is 103... No good. So next you try the next prime number, which is 107... No good. So next you try the next prime number, which is 109... No good. So next you try the next prime number, which is 113... No good. So next you try the next prime number, which is 127... No good. So next you try the next prime number, which is 131... No good. So next you try the next prime number, which is 137... No good. So next you try the next prime number, which is 139... No good. So next you try the next prime number, which is 149... No good. So next you try the next prime number, which is 151... No good. So next you try the next prime number, which is 157... No good. So next you try the next prime number, which is 163... No good. So next you try the next prime number, which is 167... No good. So next you try the next prime number, which is 173... No good. So next you try the next prime number, which is 179... No good. So next you try the next prime number, which is 181... No good. So next you try the next prime number, which is 191... No good. So next you try the next prime number, which is 193... No good. So next you try the next prime number, which is 197... No good. So next you try the next prime number, which is 199... No good. So next you try the next prime number, which is 211... No good. So next you try the next prime number, which is 223... No good. So next you try the next prime number, which is 227... No good. So next you try the next prime number, which is 229... No good. So next you try the next prime number, which is 233... No good. So next you try the next prime number, which is 239... No good. So next you try the next prime number, which is 241... No good. So next you try the next prime number, which is 251... No good. So next you try the next prime number, which is 257... No good. So next you try the next prime number, which is 263... No good. So next you try the next prime number, which is 269... No good. So next you try the next prime number, which is 271... No good. So next you try the next prime number, which is 277... No good. So next you try the next prime number, which is 281... No good. So next you try the next prime number, which is 283... No good. So next you try the next prime number, which is 293... No good. So next you try the next prime number, which is 307... No good. So next you try the next prime number, which is 311... No good. So next you try the next prime number, which is 313... No good. So next you try the next prime number, which is 317... No good. So next you try the next prime number, which is 331... No good. So next you try the next prime number, which is 337... No good. So next you try the next prime number, which is 347... No good. So next you try the next prime number, which is 349... No good. 349 is larger than 348. So we're done reducing. And we're done! Here's the final answer to 63/58 + 7/12
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