1 1/3 -1 2/7 / 1 1/4 * 1 1/6
You asked:
Evaluate the expression: \(1\frac{1}{3} - \frac{1\frac{2}{7}}{1\frac{1}{4}} \cdot 1\frac{1}{6}\)
MathBot Answer:
\[1\frac{1}{3} - \frac{1\frac{2}{7}}{1\frac{1}{4}} \cdot 1\frac{1}{6} = \frac{2}{15} = 0.1\overline{3}\]
\[\begin{aligned}1\frac{1}{3} - \frac{1\frac{2}{7}}{1\frac{1}{4}} \cdot 1\frac{1}{6}& = 1\frac{1}{3} - 1\frac{2}{7} \cdot \frac{1}{1\frac{1}{4}} \cdot 1\frac{1}{6}\\& = 1\frac{1}{3} - 1\frac{2}{7} \cdot \frac{4}{5} \cdot 1\frac{1}{6}\\& = 1\frac{1}{3} - \frac{36}{35} \cdot 1\frac{1}{6}\\& = 1\frac{1}{3} - \frac{6}{5}\\& = \frac{2}{15}\end{aligned}\]