What is 34/3 + 7/10?
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Here's how you 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 34 by 10, and get 340, then we multiply 3 by 10 and get 30. Do the same for the second term. We multiply 7 by 3, and get 21, then multiply 3 by 10 and get 30. The problem now has new fractions to add:
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Step 2Since our denominators match, we can add the numerators. 340 + 21 = 361 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... 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... Nope! So now we try the next greatest prime number, 31... No good. 31 is larger than 30. So we're done reducing. There you have it! Here's the final answer to 34/3 + 7/10
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