1 1/3 -1 2/7 / 1 1/4 * 1 1/6

asked by guest
on Sep 22, 2024 at 5:27 pm



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:

\[1\frac{1}{3} - \frac{1\frac{2}{7}}{1\frac{1}{4}} \cdot 1\frac{1}{6} = \frac{2}{15} = 0.1\overline{3}\]


\[\begin{aligned}1\frac{1}{3} - \frac{1\frac{2}{7}}{1\frac{1}{4}} \cdot 1\frac{1}{6}& = 1\frac{1}{3} - 1\frac{2}{7} \cdot \frac{1}{1\frac{1}{4}} \cdot 1\frac{1}{6}\\& = 1\frac{1}{3} - 1\frac{2}{7} \cdot \frac{4}{5} \cdot 1\frac{1}{6}\\& = 1\frac{1}{3} - \frac{36}{35} \cdot 1\frac{1}{6}\\& = 1\frac{1}{3} - \frac{6}{5}\\& = \frac{2}{15}\end{aligned}\]