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Complete two and five-sixths compared to two and 12 17ths using less than, equal to, or greater than.
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We’re trying to compare these two mixed numbers.
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The whole number portion of each mixed number is the same.
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That means we need to look at the fraction piece.
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We need to compare five-sixths to 12 17ths.
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To compare them accurately, they need a common denominator.
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To do that, we’ll multiply six by 17 and we’ll multiply 17 by six.
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Six times 17 equals 102.
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17 times six equals 102.
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Remember if we multiply by something in the denominator, we must multiply by that same value in the numerator.
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That means for five-sixths, we’ll need to multiply five times 17, which equals 85.
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And for 12 17ths, we’ll multiply 12 by six, which equals 72.
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Next, we bring down our twos.
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Now that the fractional pieces of our mixed number have the same denominator, we can compare: two and 85 over 102 compared to two and 72 over 102.
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85 over 102 is larger than 72 over 102.
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And that makes two and 85 over 102 greater than two and 72 over 102.
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Going back to our original problem, two and five-sixths is greater than two and 12 17ths.