34/76(76-0.6)603.2=

asked by guest
on Jan 15, 2025 at 1:34 pm



You asked:

Evaluate the expression: \(\frac{34}{76 \left(76 - 0.6\right) \cdot 603.2}\)

MathBot Answer:

\[\frac{34}{76 \left(76 - 0.6\right) \cdot 603.2} = \frac{425}{43207216} \approx 0.0000098363199332259685511790438\]

\[\begin{aligned}\frac{34}{76 \left(76 - 0.6\right) \cdot 603.2}& = 34 \cdot \frac{1}{76 \cdot \left(76 - \frac{6}{10}\right) \cdot \left(603 + \frac{2}{10}\right)}\\& = 34 \cdot \frac{1}{76 \cdot \left(76 - \frac{3}{5}\right) \cdot \left(603 + \frac{2}{10}\right)}\\& = 34 \cdot \frac{1}{76 \cdot \frac{377}{5} \cdot \left(603 + \frac{2}{10}\right)}\\& = 34 \cdot \frac{1}{76 \cdot \frac{377}{5} \cdot \left(603 + \frac{1}{5}\right)}\\& = 34 \cdot \frac{1}{76 \cdot \frac{377}{5} \cdot \frac{3016}{5}}\\& = 34 \cdot \frac{1}{\frac{28652}{5} \cdot \frac{3016}{5}}\\& = 34 \cdot \frac{1}{\frac{86414432}{25}}\\& = \frac{425}{43207216}\end{aligned}\]

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