−12/8×16/20÷−3/10

asked by guest
on Nov 24, 2024 at 8:34 pm



You asked:

Evaluate the expression: \(\frac{\frac{\frac{\frac{-12}{8} \cdot 16}{20}}{-3}}{10}\)

MathBot Answer:

\[\frac{\frac{\frac{\frac{-12}{8} \cdot 16}{20}}{-3}}{10} = \frac{1}{25} = 0.04\]

\[\begin{aligned}\frac{\frac{\frac{\frac{-12}{8} \cdot 16}{20}}{-3}}{10}& = - \frac{12}{8} \cdot \frac{16}{20} \cdot \frac{1}{-3} \cdot \frac{1}{10}\\& = - \frac{12}{8} \cdot \frac{16}{20} \cdot - \frac{1}{3} \cdot \frac{1}{10}\\& = - \frac{12}{8} \cdot \frac{16}{20} \cdot - \frac{1}{30}\\& = \frac{-24}{20} \cdot - \frac{1}{30}\\& = - \frac{6}{5} \cdot - \frac{1}{30}\\& = \frac{1}{25}\end{aligned}\]

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