What is 87/100 + 2/3?
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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 87 by 3, and get 261, then we multiply 100 by 3 and get 300. Do the same for the second term. We multiply 2 by 100, and get 200, then multiply 100 by 3 and get 300. So now our fractions look like this:
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Step 2Since our denominators match, we can add the numerators. 261 + 200 = 461 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... Nope! So now we try the next greatest prime number, 227... Nope! So now we try the next greatest prime number, 229... Nope! So now we try the next greatest prime number, 233... Nope! So now we try the next greatest prime number, 239... Nope! So now we try the next greatest prime number, 241... Nope! So now we try the next greatest prime number, 251... Nope! So now we try the next greatest prime number, 257... Nope! So now we try the next greatest prime number, 263... Nope! So now we try the next greatest prime number, 269... Nope! So now we try the next greatest prime number, 271... Nope! So now we try the next greatest prime number, 277... Nope! So now we try the next greatest prime number, 281... Nope! So now we try the next greatest prime number, 283... Nope! So now we try the next greatest prime number, 293... Nope! So now we try the next greatest prime number, 307... No good. 307 is larger than 300. So we're done reducing. There you have it! Here's the final answer to 87/100 + 2/3
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