1/2 / 9/4 * (11 - 4/3)

asked by guest
on Oct 06, 2024 at 1:23 am



You asked:

Evaluate the expression: \(\frac{\frac{\frac{1}{2}}{9}}{4} \cdot \left(11 - \frac{4}{3}\right)\)

MathBot Answer:

\[\frac{\frac{\frac{1}{2}}{9}}{4} \cdot \left(11 - \frac{4}{3}\right) = \frac{29}{216} = 0.134\overline{259}\]

\[\begin{aligned}\frac{\frac{\frac{1}{2}}{9}}{4} \cdot \left(11 - \frac{4}{3}\right)& = \frac{1}{2} \cdot \frac{1}{9} \cdot \frac{1}{4} \cdot \left(11 - \frac{4}{3}\right)\\& = \frac{1}{2} \cdot \frac{1}{9} \cdot \frac{1}{4} \cdot \frac{29}{3}\\& = \frac{1}{18} \cdot \frac{1}{4} \cdot \frac{29}{3}\\& = \frac{1}{72} \cdot \frac{29}{3}\\& = \frac{29}{216}\end{aligned}\]

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