What is 70/51 + 3/12?
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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 70 by 12, and get 840, then we multiply 51 by 12 and get 612. Do the same for the second term. We multiply 3 by 51, and get 153, then multiply 51 by 12 and get 612. So now our fractions look like this:
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Step 2Since our denominators match, we can add the numerators. 840 + 153 = 993 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. Try the next prime number, 3... Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:
Now, try the same number again. 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... Nope. Try the next prime number, 41... Nope. Try the next prime number, 43... Nope. Try the next prime number, 47... Nope. Try the next prime number, 53... Nope. Try the next prime number, 59... Nope. Try the next prime number, 61... Nope. Try the next prime number, 67... Nope. Try the next prime number, 71... Nope. Try the next prime number, 73... Nope. Try the next prime number, 79... Nope. Try the next prime number, 83... Nope. Try the next prime number, 89... Nope. Try the next prime number, 97... Nope. Try the next prime number, 101... Nope. Try the next prime number, 103... Nope. Try the next prime number, 107... Nope. Try the next prime number, 109... Nope. Try the next prime number, 113... Nope. Try the next prime number, 127... Nope. Try the next prime number, 131... Nope. Try the next prime number, 137... Nope. Try the next prime number, 139... Nope. Try the next prime number, 149... Nope. Try the next prime number, 151... Nope. Try the next prime number, 157... Nope. Try the next prime number, 163... Nope. Try the next prime number, 167... Nope. Try the next prime number, 173... Nope. Try the next prime number, 179... Nope. Try the next prime number, 181... Nope. Try the next prime number, 191... Nope. Try the next prime number, 193... Nope. Try the next prime number, 197... Nope. Try the next prime number, 199... Nope. Try the next prime number, 211... No good. 211 is larger than 204. So we're done reducing. Congratulations! Here's your final answer to 70/51 + 3/12
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