What is 99/77 - 9/10?
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Here's how to subtract 9/10 from 99/77:
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Step 1We can't subtract two fractions with different denominators. So you need to get a common denominator. 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 99 by 10, and get 990. Then we multiply 9 by 77, and get 693. Next we give both terms new denominators -- 77 × 10 = 770. So now our fractions look like this:
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Step 2Since our denominators match, we can subtract the numerators. 990 − 693 = 297 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! 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... Are both the numerator and the denominator evenly divisible by 11? Yes! So we reduce it:
Let's try dividing by 11 again... 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... No good. 29 is larger than 27. So we're done reducing. There you have it! The final answer is:
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