\(3\left(-2-3\right)-\ 50.25\ \div \left(-1\frac{3}{4}\right)\)
You asked:
Evaluate the expression: \(3 \cdot \left(-2 - 3\right) - \frac{50.25}{-1\frac{3}{4}}\)
MathBot Answer:
\[3 \cdot \left(-2 - 3\right) - \frac{50.25}{-1\frac{3}{4}} = \frac{96}{7} = 13.\overline{714285}\]
\[\begin{aligned}3 \cdot \left(-2 - 3\right) - \frac{50.25}{-1\frac{3}{4}}& = 3 \cdot \left(-2 - 3\right) - \left(50 + \frac{25}{100}\right) \cdot \frac{1}{- \frac{7}{4}}\\& = 3 \cdot -5 - \left(50 + \frac{25}{100}\right) \cdot \frac{1}{- \frac{7}{4}}\\& = -15 - \left(50 + \frac{25}{100}\right) \cdot \frac{1}{- \frac{7}{4}}\\& = -15 - \left(50 + \frac{1}{4}\right) \cdot \frac{1}{- \frac{7}{4}}\\& = -15 - \frac{201}{4} \cdot \frac{1}{- \frac{7}{4}}\\& = -15 - - \frac{201}{7}\\& = -15 + \frac{201}{7}\\& = \frac{96}{7}\end{aligned}\]