((1+ {60}-{0})*100)/(1+{60})

asked by guest
on Jan 09, 2025 at 5:52 am



You asked:

Evaluate the expression: \(\frac{\left(1 + 60 - 0\right) \cdot 100}{1 + 60}\)

MathBot Answer:

\[\frac{\left(1 + 60 - 0\right) \cdot 100}{1 + 60} = 100\]


\[\begin{aligned}\frac{\left(1 + 60 - 0\right) \cdot 100}{1 + 60}& = \left(1 + 60 + 0\right) \cdot 100 \cdot \frac{1}{1 + 60}\\& = \left(61 + 0\right) \cdot 100 \cdot \frac{1}{1 + 60}\\& = 61 \cdot 100 \cdot \frac{1}{1 + 60}\\& = 61 \cdot \frac{100}{61}\\& = 100\end{aligned}\]