10.2รท2.2
You asked:
Evaluate the expression: \(\frac{10.2}{2.2}\)
MathBot Answer:
\[\frac{10.2}{2.2} = \frac{51}{11} = 4.\overline{63}\]
\[\begin{aligned}\frac{10.2}{2.2}& = \left(10 + \frac{2}{10}\right) \cdot \frac{1}{2 + \frac{2}{10}}\\& = \left(10 + \frac{1}{5}\right) \cdot \frac{1}{2 + \frac{2}{10}}\\& = \frac{51}{5} \cdot \frac{1}{2 + \frac{2}{10}}\\& = \frac{51}{5} \cdot \frac{1}{2 + \frac{1}{5}}\\& = \frac{51}{5} \cdot \frac{1}{\frac{11}{5}}\\& = \frac{51}{11}\end{aligned}\]