52-3 x (4.1-1.8)

asked by guest
on Nov 27, 2024 at 3:36 pm



You asked:

Evaluate the expression: \(52 - 3 \cdot \left(4.1 - 1.8\right)\)

MathBot Answer:

\[52 - 3 \cdot \left(4.1 - 1.8\right) = \frac{451}{10} = 45.1\]


\[\begin{aligned}52 - 3 \cdot \left(4.1 - 1.8\right)& = 52 - 3 \cdot \left(4 + \frac{1}{10} - \left(1 + \frac{8}{10}\right)\right)\\& = 52 - 3 \cdot \left(4 + \frac{1}{10} - \left(1 + \frac{4}{5}\right)\right)\\& = 52 - 3 \cdot \left(4 + \frac{1}{10} - \frac{9}{5}\right)\\& = 52 - 3 \cdot \left(\frac{41}{10} - \frac{9}{5}\right)\\& = 52 - 3 \cdot \frac{23}{10}\\& = 52 - \frac{69}{10}\\& = \frac{451}{10}\end{aligned}\]