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1=\frac{10}{6}-\frac{2}{3}
Multiply \frac{1}{6} and 10 to get \frac{10}{6}.
1=\frac{5}{3}-\frac{2}{3}
Reduce the fraction \frac{10}{6} to lowest terms by extracting and canceling out 2.
1=\frac{5-2}{3}
Since \frac{5}{3} and \frac{2}{3} have the same denominator, subtract them by subtracting their numerators.
1=\frac{3}{3}
Subtract 2 from 5 to get 3.
1=1
Divide 3 by 3 to get 1.
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Compare 1 and 1.