[(8.2-0.75)/10]*100

asked by guest
on Nov 19, 2024 at 2:18 am



You asked:

Evaluate the expression: \(\frac{8.2 - 0.75}{10} \cdot 100\)

MathBot Answer:

\[\frac{8.2 - 0.75}{10} \cdot 100 = \frac{149}{2} = 74.5\]

\[\begin{aligned}\frac{8.2 - 0.75}{10} \cdot 100& = \left(8 + \frac{2}{10} - \frac{75}{100}\right) \cdot \frac{100}{10}\\& = \left(8 + \frac{1}{5} - \frac{75}{100}\right) \cdot \frac{100}{10}\\& = \left(8 + \frac{1}{5} - \frac{3}{4}\right) \cdot \frac{100}{10}\\& = \left(\frac{41}{5} - \frac{3}{4}\right) \cdot \frac{100}{10}\\& = \frac{149}{20} \cdot \frac{100}{10}\\& = \frac{149}{200} \cdot 100\\& = \frac{149}{2}\end{aligned}\]

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