What is 25/36 + 4/7?
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This is how you 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 25 by 7, and get 175, then we multiply 36 by 7 and get 252. Do the same for the second term. We multiply 4 by 36, and get 144, then multiply 36 by 7 and get 252. So now our fractions look like this:
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Step 2Since our denominators match, we can add the numerators. 175 + 144 = 319 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... No good. 257 is larger than 252. So we're done reducing. There you have it! Here's the final answer to 25/36 + 4/7
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