6.67 × 6× 10 ÷ 6.4 × 6.4

asked by guest
on Nov 16, 2024 at 10:46 pm



You asked:

Evaluate the expression: \(\frac{6.67 \cdot 6 \cdot 10}{6.4} \cdot 6.4\)

MathBot Answer:

\[\frac{6.67 \cdot 6 \cdot 10}{6.4} \cdot 6.4 = \frac{2001}{5} = 400.2\]

\[\begin{aligned}\frac{6.67 \cdot 6 \cdot 10}{6.4} \cdot 6.4& = \left(6 + \frac{67}{100}\right) \cdot 6 \cdot 10 \cdot \frac{1}{6 + \frac{4}{10}} \cdot \left(6 + \frac{4}{10}\right)\\& = \frac{667}{100} \cdot 6 \cdot 10 \cdot \frac{1}{6 + \frac{4}{10}} \cdot \left(6 + \frac{4}{10}\right)\\& = \frac{667}{100} \cdot 6 \cdot 10 \cdot \frac{1}{6 + \frac{2}{5}} \cdot \left(6 + \frac{4}{10}\right)\\& = \frac{667}{100} \cdot 6 \cdot 10 \cdot \frac{1}{\frac{32}{5}} \cdot \left(6 + \frac{4}{10}\right)\\& = \frac{667}{100} \cdot 6 \cdot 10 \cdot \frac{5}{32} \cdot \left(6 + \frac{4}{10}\right)\\& = \frac{667}{100} \cdot 6 \cdot 10 \cdot \frac{5}{32} \cdot \left(6 + \frac{2}{5}\right)\\& = \frac{667}{100} \cdot 6 \cdot 10 \cdot \frac{5}{32} \cdot \frac{32}{5}\\& = \frac{2001}{50} \cdot 10 \cdot \frac{5}{32} \cdot \frac{32}{5}\\& = \frac{2001}{5} \cdot \frac{5}{32} \cdot \frac{32}{5}\\& = \frac{2001}{32} \cdot \frac{32}{5}\\& = \frac{2001}{5}\end{aligned}\]

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