[(-3/4)3 /(-5/2)3]/23
You asked:
Evaluate the expression: \(\frac{\frac{\frac{-3}{4} \cdot 3}{\frac{-5}{2} \cdot 3}}{23}\)
MathBot Answer:
\[\frac{\frac{\frac{-3}{4} \cdot 3}{\frac{-5}{2} \cdot 3}}{23} = \frac{3}{230} = 0.0\overline{1304347826086956521739}\]
\[\begin{aligned}\frac{\frac{\frac{-3}{4} \cdot 3}{\frac{-5}{2} \cdot 3}}{23}& = - \frac{3}{4} \cdot 3 \cdot \frac{1}{- \frac{5}{2} \cdot 3} \cdot \frac{1}{23}\\& = - \frac{3}{4} \cdot 3 \cdot \frac{1}{- \frac{15}{2}} \cdot \frac{1}{23}\\& = - \frac{3}{4} \cdot 3 \cdot - \frac{2}{15} \cdot \frac{1}{23}\\& = - \frac{3}{4} \cdot 3 \cdot - \frac{2}{345}\\& = - \frac{9}{4} \cdot - \frac{2}{345}\\& = \frac{3}{230}\end{aligned}\]