What is 100/72 + 8/12?
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This is how we add
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Step 1Now we need to make our denominators match. Since 12 is evenly divided by 72, we can multiply just one term to get a common denominator. Multiply 8 by 6, and get 48, then we multiply 12 by 6 and get 72. So now our fractions look like this:
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Step 2Since our denominators match, we can add the numerators. 100 + 48 = 148 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... Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
Let's try dividing by that again... Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
Let's try dividing by that again... 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... No good. 19 is larger than 18. So we're done reducing. There you have it! Here's the final answer to 100/72 + 8/12
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