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10\times \frac{1}{10}+\frac{10}{60}x>2
Reduce the fraction \frac{6}{60} to lowest terms by extracting and canceling out 6.
1+\frac{10}{60}x>2
Cancel out 10 and 10.
1+\frac{1}{6}x>2
Reduce the fraction \frac{10}{60} to lowest terms by extracting and canceling out 10.
\frac{1}{6}x>2-1
Subtract 1 from both sides.
\frac{1}{6}x>1
Subtract 1 from 2 to get 1.
x>1\times 6
Multiply both sides by 6, the reciprocal of \frac{1}{6}. Since \frac{1}{6} is positive, the inequality direction remains the same.
x>6
Multiply 1 and 6 to get 6.