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\frac{\frac{10}{3}}{8}<x
Divide both sides by 8. Since 8 is positive, the inequality direction remains the same.
\frac{10}{3\times 8}<x
Express \frac{\frac{10}{3}}{8} as a single fraction.
\frac{10}{24}<x
Multiply 3 and 8 to get 24.
\frac{5}{12}<x
Reduce the fraction \frac{10}{24} to lowest terms by extracting and canceling out 2.
x>\frac{5}{12}
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.