Here's how to add
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Step 1Now we need to make our denominators match. 72 goes into 12 evenly, so we only need to multiply one term to get a common denominator. Multiply 5 by 6, and get 30, then we multiply 12 by 6 and get 72. This gives us a new problem that looks like so:
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Step 2Since our denominators match, we can add the numerators. 100 + 30 = 130 So what's the answer so far?
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Step 3Can this fraction be reduced? First, we attempt to divide 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... 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... No good. 37 is larger than 36. So we're done reducing. There you have it! Here's the final answer to 100/72 + 5/12
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