(1 ¾ - 5/8) ×2/9
You asked:
Evaluate the expression: \(\frac{\left(1 \cdot \frac{3}{4} - \frac{5}{8}\right) \cdot 2}{9}\)
MathBot Answer:
\[\frac{\left(1 \cdot \frac{3}{4} - \frac{5}{8}\right) \cdot 2}{9} = \frac{1}{36} = 0.02\overline{7}\]
\[\begin{aligned}\frac{\left(1 \cdot \frac{3}{4} - \frac{5}{8}\right) \cdot 2}{9}& = \left(1 \cdot \frac{3}{4} - \frac{5}{8}\right) \cdot \frac{2}{9}\\& = \left(\frac{3}{4} - \frac{5}{8}\right) \cdot \frac{2}{9}\\& = \frac{2}{8} \cdot \frac{1}{9}\\& = \frac{1}{8} \cdot \frac{2}{9}\\& = \frac{1}{36}\end{aligned}\]