Let's add
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Step 1Can you add yet? Nope! The denominators don't match. We need a common denominator. So next we take both denominators and multiply them. Next, take each numerator and multiply it by the denominator of the other term. So, we multiply 60 by 10, and get 600, then we multiply 48 by 10 and get 480. Now for the second term. You multiply 9 by 48, and get 432, then multiply 48 by 10 and get 480. We now have a new problem, that looks like this:
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Step 2Since our denominators match, we can add the numerators. 600 + 432 = 1032 That gives us the sum, which is
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Step 3Now, do we need to simplify this fraction? First, we attempt to divide it by 2... Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
Now, try the same number again. Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
Now, try the same number again. Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
Now, try the same number again. 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... No good. 23 is larger than 20. So we're done reducing. Congratulations! Here's your final answer to 60/48 + 9/10
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