8.1 / 0.9 + 0.4^3 / 0.8 x 30

asked by guest
on Oct 23, 2024 at 1:44 pm



You asked:

Evaluate the expression: \(\frac{8.1}{0.9} + \frac{{0.4}^{3}}{0.8} \cdot 30\)

MathBot Answer:

\[\frac{8.1}{0.9} + \frac{{0.4}^{3}}{0.8} \cdot 30 = \frac{57}{5} = 11.4\]

\[\begin{aligned}\frac{8.1}{0.9} + \frac{{0.4}^{3}}{0.8} \cdot 30& = \left(8 + \frac{1}{10}\right) \cdot \frac{1}{\frac{9}{10}} + \left(\frac{4}{10}\right)^{3} \cdot \frac{1}{\frac{8}{10}} \cdot 30\\& = \frac{81}{10} \cdot \frac{1}{\frac{9}{10}} + \left(\frac{4}{10}\right)^{3} \cdot \frac{1}{\frac{8}{10}} \cdot 30\\& = 9 + \left(\frac{4}{10}\right)^{3} \cdot \frac{1}{\frac{8}{10}} \cdot 30\\& = 9 + \left(\frac{2}{5}\right)^{3} \cdot \frac{1}{\frac{8}{10}} \cdot 30\\& = 9 + \frac{8}{125} \cdot \frac{1}{\frac{8}{10}} \cdot 30\\& = 9 + \frac{8}{125} \cdot \frac{1}{\frac{4}{5}} \cdot 30\\& = 9 + \frac{8}{125} \cdot \frac{5}{4} \cdot 30\\& = 9 + \frac{2}{25} \cdot 30\\& = 9 + \frac{12}{5}\\& = \frac{57}{5}\end{aligned}\]

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