24/20-40/2[10*2-5-4]

asked by guest
on Oct 24, 2024 at 9:26 pm



You asked:

Evaluate the expression: \(\frac{24}{20} - \frac{40}{2 \cdot \left(10 \cdot 2 - 5 - 4\right)}\)

MathBot Answer:

\[\frac{24}{20} - \frac{40}{2 \cdot \left(10 \cdot 2 - 5 - 4\right)} = - \frac{34}{55} = -0.6\overline{18}\]

\[\begin{aligned}\frac{24}{20} - \frac{40}{2 \cdot \left(10 \cdot 2 - 5 - 4\right)}& = \frac{24}{20} - 40 \cdot \frac{1}{2 \cdot \left(10 \cdot 2 - 5 - 4\right)}\\& = \frac{24}{20} - 40 \cdot \frac{1}{2 \cdot \left(20 - 5 - 4\right)}\\& = \frac{24}{20} - 40 \cdot \frac{1}{2 \cdot \left(15 - 4\right)}\\& = \frac{24}{20} - 40 \cdot \frac{1}{2 \cdot 11}\\& = \frac{24}{20} - \frac{40}{22}\\& = \frac{24}{20} - \frac{20}{11}\\& = - \frac{34}{55}\end{aligned}\]

+ Submit Question