15.5×100÷162
You asked:
Evaluate the expression: \(\frac{15.5 \cdot 100}{162}\)
MathBot Answer:
\[\frac{15.5 \cdot 100}{162} = \frac{775}{81} = 9.\overline{567901234}\]
\[\begin{aligned}\frac{15.5 \cdot 100}{162}& = \left(15 + \frac{5}{10}\right) \cdot \frac{100}{162}\\& = \left(15 + \frac{1}{2}\right) \cdot \frac{100}{162}\\& = \frac{31}{2} \cdot \frac{100}{162}\\& = \frac{31}{2} \cdot \frac{50}{81}\\& = \frac{775}{81}\end{aligned}\]