[(7.49-0.75)/10]*100

asked by guest
on Nov 19, 2024 at 2:17 am



You asked:

Evaluate the expression: \(\frac{7.49 - 0.75}{10} \cdot 100\)

MathBot Answer:

\[\frac{7.49 - 0.75}{10} \cdot 100 = \frac{337}{5} = 67.4\]

\[\begin{aligned}\frac{7.49 - 0.75}{10} \cdot 100& = \left(7 + \frac{49}{100} - \frac{75}{100}\right) \cdot \frac{100}{10}\\& = \left(7 + \frac{49}{100} - \frac{3}{4}\right) \cdot \frac{100}{10}\\& = \left(\frac{749}{100} - \frac{3}{4}\right) \cdot \frac{100}{10}\\& = \frac{337}{50} \cdot \frac{100}{10}\\& = \frac{337}{500} \cdot 100\\& = \frac{337}{5}\end{aligned}\]

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