240÷[8+ {24 × (100-7)}]

asked by guest
on Oct 18, 2024 at 7:37 am



You asked:

Evaluate the expression: \(\frac{240}{8 + 24 \cdot \left(100 - 7\right)}\)

MathBot Answer:

\[\frac{240}{8 + 24 \cdot \left(100 - 7\right)} = \frac{3}{28} = 0.10\overline{714285}\]

\[\begin{aligned}\frac{240}{8 + 24 \cdot \left(100 - 7\right)}& = 240 \cdot \frac{1}{8 + 24 \cdot \left(100 - 7\right)}\\& = 240 \cdot \frac{1}{8 + 24 \cdot 93}\\& = 240 \cdot \frac{1}{8 + 2232}\\& = \frac{240}{2240}\\& = \frac{3}{28}\end{aligned}\]

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