What is 7/20 + 10/11?
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This is 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 7 by 11, and get 77, then we multiply 20 by 11 and get 220. Do the same for the second term. We multiply 10 by 20, and get 200, then multiply 20 by 11 and get 220. So now our fractions look like this:
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Step 2Since our denominators match, we can add the numerators. 77 + 200 = 277 So the answer is:
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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! 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... Nope! So now we try the next greatest prime number, 37... Nope! So now we try the next greatest prime number, 41... Nope! So now we try the next greatest prime number, 43... Nope! So now we try the next greatest prime number, 47... Nope! So now we try the next greatest prime number, 53... Nope! So now we try the next greatest prime number, 59... Nope! So now we try the next greatest prime number, 61... Nope! So now we try the next greatest prime number, 67... Nope! So now we try the next greatest prime number, 71... Nope! So now we try the next greatest prime number, 73... Nope! So now we try the next greatest prime number, 79... Nope! So now we try the next greatest prime number, 83... Nope! So now we try the next greatest prime number, 89... Nope! So now we try the next greatest prime number, 97... Nope! So now we try the next greatest prime number, 101... Nope! So now we try the next greatest prime number, 103... Nope! So now we try the next greatest prime number, 107... Nope! So now we try the next greatest prime number, 109... Nope! So now we try the next greatest prime number, 113... Nope! So now we try the next greatest prime number, 127... Nope! So now we try the next greatest prime number, 131... Nope! So now we try the next greatest prime number, 137... Nope! So now we try the next greatest prime number, 139... Nope! So now we try the next greatest prime number, 149... Nope! So now we try the next greatest prime number, 151... Nope! So now we try the next greatest prime number, 157... Nope! So now we try the next greatest prime number, 163... Nope! So now we try the next greatest prime number, 167... Nope! So now we try the next greatest prime number, 173... Nope! So now we try the next greatest prime number, 179... Nope! So now we try the next greatest prime number, 181... Nope! So now we try the next greatest prime number, 191... Nope! So now we try the next greatest prime number, 193... Nope! So now we try the next greatest prime number, 197... Nope! So now we try the next greatest prime number, 199... Nope! So now we try the next greatest prime number, 211... Nope! So now we try the next greatest prime number, 223... No good. 223 is larger than 220. So we're done reducing. There you have it! Here's the final answer to 7/20 + 10/11
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