Evaluate: (3)/(4) \times (1-(1)/(9))

Expression: $\frac{ 3 }{ 4 } \times \left( 1-\frac{ 1 }{ 9 } \right)$

Distribute $\frac{ 3 }{ 4 }$ through the parentheses

$\frac{ 3 }{ 4 } \times 1-\frac{ 3 }{ 4 } \times \frac{ 1 }{ 9 }$

Any expression multiplied by $1$ remains the same

$\frac{ 3 }{ 4 }-\frac{ 3 }{ 4 } \times \frac{ 1 }{ 9 }$

Cancel out the greatest common factor $3$

$\frac{ 3 }{ 4 }-\frac{ 1 }{ 4 } \times \frac{ 1 }{ 3 }$

Multiply the fractions

$\frac{ 3 }{ 4 }-\frac{ 1 }{ 12 }$

Subtract the fractions

$\begin{align*}&\frac{ 2 }{ 3 } \\&0.\overset{ \cdot }{ 6 } \end{align*}$