Simplify: (\(\frac{3}{4} - \frac{2}{3}\)) x 1\(\frac{1}{5}\)
Answer Details
To simplify the expression (\(\frac{3}{4} - \frac{2}{3}\)) x 1\(\frac{1}{5}\), we first need to evaluate the subtraction inside the parentheses:
\begin{align*}
\frac{3}{4} - \frac{2}{3} &= \frac{9}{12} - \frac{8}{12} \\
&= \frac{1}{12}
\end{align*}
So now we have:
\begin{align*}
(\frac{3}{4} - \frac{2}{3})\times 1\frac{1}{5} &= \frac{1}{12} \times \frac{6}{5} \\
&= \frac{1 \times 6}{12 \times 5} \\
&= \frac{1}{10}
\end{align*}
Therefore, the answer is \(\frac{1}{10}\).