((1+ {60}-{40})*100)/(1+{60})

asked by guest
on Jan 09, 2025 at 5:54 am



You asked:

Evaluate the expression: \(\frac{\left(1 + 60 - 40\right) \cdot 100}{1 + 60}\)

MathBot Answer:

\[\frac{\left(1 + 60 - 40\right) \cdot 100}{1 + 60} = \frac{2100}{61} = 34.\overline{426229508196721311475409836065573770491803278688524590163934}\]

\[\begin{aligned}\frac{\left(1 + 60 - 40\right) \cdot 100}{1 + 60}& = \left(1 + 60 - 40\right) \cdot 100 \cdot \frac{1}{1 + 60}\\& = \left(61 - 40\right) \cdot 100 \cdot \frac{1}{1 + 60}\\& = 21 \cdot 100 \cdot \frac{1}{1 + 60}\\& = 21 \cdot \frac{100}{61}\\& = \frac{2100}{61}\end{aligned}\]

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