What is 34/3 + 4/11?
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This is how we 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 34 by 11, and get 374, then we multiply 3 by 11 and get 33. Do the same for the second term. We multiply 4 by 3, and get 12, then multiply 3 by 11 and get 33. So now our fractions look like this:
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Step 2Since our denominators match, we can add the numerators. 374 + 12 = 386 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... 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... No good. 37 is larger than 33. So we're done reducing. Congratulations! Here's your final answer to 34/3 + 4/11
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