67800/8.71×36.8

asked by guest
on Oct 23, 2024 at 1:24 am



You asked:

Evaluate the expression: \(\frac{67800}{8.71} \cdot 36.8\)

MathBot Answer:

\[\frac{67800}{8.71} \cdot 36.8 = \frac{249504000}{871} = 286456.\overline{946039035591274397244546498277841561423650975889781859931113662456}\]

\[\begin{aligned}\frac{67800}{8.71} \cdot 36.8& = 67800 \cdot \frac{1}{8 + \frac{71}{100}} \cdot \left(36 + \frac{8}{10}\right)\\& = 67800 \cdot \frac{1}{\frac{871}{100}} \cdot \left(36 + \frac{8}{10}\right)\\& = 67800 \cdot \frac{100}{871} \cdot \left(36 + \frac{8}{10}\right)\\& = 67800 \cdot \frac{100}{871} \cdot \left(36 + \frac{4}{5}\right)\\& = 67800 \cdot \frac{100}{871} \cdot \frac{184}{5}\\& = \frac{6780000}{871} \cdot \frac{184}{5}\\& = \frac{249504000}{871}\end{aligned}\]

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