-(9.92-10)/9.92
You asked:
Evaluate the expression: \(\frac{-\left( 9.92 - 10 \right)}{9.92}\)
MathBot Answer:
\[\frac{-\left( 9.92 - 10 \right)}{9.92} = \frac{1}{124} = 0.00\overline{806451612903225}\]
\[\begin{aligned}\frac{-\left( 9.92 - 10 \right)}{9.92}& = - \cdot \left(9 + \frac{92}{100} - 10\right) \cdot \frac{1}{9 + \frac{92}{100}}\\& = - \cdot \left(9 + \frac{23}{25} - 10\right) \cdot \frac{1}{9 + \frac{92}{100}}\\& = - \cdot \left(\frac{248}{25} - 10\right) \cdot \frac{1}{9 + \frac{92}{100}}\\& = - \cdot - \frac{2}{25} \cdot \frac{1}{9 + \frac{92}{100}}\\& = - \cdot - \frac{2}{25} \cdot \frac{1}{9 + \frac{23}{25}}\\& = - \cdot - \frac{2}{25} \cdot \frac{1}{\frac{248}{25}}\\& = \frac{1}{124}\end{aligned}\]