2.3 + (-11.2) divided by (-0.2) - 3.7

asked by guest
on Nov 27, 2024 at 4:21 pm



You asked:

Evaluate the expression: \(2.3 + \frac{-11.2}{-0.2} - 3.7\)

MathBot Answer:

\[2.3 + \frac{-11.2}{-0.2} - 3.7 = \frac{273}{5} = 54.6\]

\[\begin{aligned}2.3 + \frac{-11.2}{-0.2} - 3.7& = 2 + \frac{3}{10} - \left(11 + \frac{2}{10}\right) \cdot \frac{1}{- \frac{2}{10}} - \left(3 + \frac{7}{10}\right)\\& = 2 + \frac{3}{10} - \left(11 + \frac{1}{5}\right) \cdot \frac{1}{- \frac{2}{10}} - \left(3 + \frac{7}{10}\right)\\& = 2 + \frac{3}{10} - \frac{56}{5} \cdot \frac{1}{- \frac{2}{10}} - \left(3 + \frac{7}{10}\right)\\& = 2 + \frac{3}{10} - \frac{56}{5} \cdot \frac{1}{\frac{-1}{5}} - \left(3 + \frac{7}{10}\right)\\& = 2 + \frac{3}{10} - \frac{56}{5} \cdot \frac{1}{- \frac{1}{5}} - \left(3 + \frac{7}{10}\right)\\& = 2 + \frac{3}{10} - -56 - \left(3 + \frac{7}{10}\right)\\& = 2 + \frac{3}{10} + 56 - \left(3 + \frac{7}{10}\right)\\& = 2 + \frac{3}{10} + 56 - \frac{37}{10}\\& = \frac{23}{10} + 56 - \frac{37}{10}\\& = \frac{583}{10} - \frac{37}{10}\\& = \frac{273}{5}\end{aligned}\]

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