84*0.98/84*1.57

asked by guest
on Nov 21, 2024 at 11:33 am



You asked:

Evaluate the expression: \(\frac{84 \cdot 0.98}{84} \cdot 1.57\)

MathBot Answer:

\[\frac{84 \cdot 0.98}{84} \cdot 1.57 = \frac{7693}{5000} = 1.5386\]

\[\begin{aligned}\frac{84 \cdot 0.98}{84} \cdot 1.57& = 84 \cdot \frac{98}{100} \cdot \frac{1}{84} \cdot \left(1 + \frac{57}{100}\right)\\& = 84 \cdot \frac{98}{100} \cdot \frac{1}{84} \cdot \frac{157}{100}\\& = \frac{8232}{100} \cdot \frac{1}{84} \cdot \frac{157}{100}\\& = \frac{2058}{25} \cdot \frac{1}{84} \cdot \frac{157}{100}\\& = \frac{49}{50} \cdot \frac{157}{100}\\& = \frac{7693}{5000}\end{aligned}\]

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