1 1/3 -2 1/7 / 1 1/4 * 1 1/6
You asked:
Evaluate the expression: \(1\frac{1}{3} - \frac{2\frac{1}{7}}{1\frac{1}{4}} \cdot 1\frac{1}{6}\)
MathBot Answer:
\[1\frac{1}{3} - \frac{2\frac{1}{7}}{1\frac{1}{4}} \cdot 1\frac{1}{6} = - \frac{2}{3} = -0.\overline{6}\]
\[\begin{aligned}1\frac{1}{3} - \frac{2\frac{1}{7}}{1\frac{1}{4}} \cdot 1\frac{1}{6}& = 1\frac{1}{3} - 2\frac{1}{7} \cdot \frac{1}{1\frac{1}{4}} \cdot 1\frac{1}{6}\\& = 1\frac{1}{3} - 2\frac{1}{7} \cdot \frac{4}{5} \cdot 1\frac{1}{6}\\& = 1\frac{1}{3} - \frac{12}{7} \cdot 1\frac{1}{6}\\& = 1\frac{1}{3} - 2\\& = - \frac{2}{3}\end{aligned}\]