Here's how to add
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Step 1Now we need to make our denominators match. 72 goes into 9 evenly, so we only need to multiply one term to get a common denominator. Multiply 8 by 8, and get 64, then we multiply 9 by 8 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 + 64 = 164 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... 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 + 8/9
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