What is 24/5 + 2/7?
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This is how we add
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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 24 by 7, and get 168, then we multiply 5 by 7 and get 35. Do the same for the second term. We multiply 2 by 5, and get 10, then multiply 5 by 7 and get 35. The problem now has new fractions to add:
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Step 2Since our denominators match, we can add the numerators. 168 + 10 = 178 The sum we get is
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Step 3The last step is to reduce the fraction if we can. To find out, we try dividing it by 2... 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. 37 is larger than 35. So we're done reducing. And we're done! Here's the final answer to 24/5 + 2/7
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