20.10/58.9*100
You asked:
Evaluate the expression: \(\frac{20.10}{58.9} \cdot 100\)
MathBot Answer:
\[\frac{20.10}{58.9} \cdot 100 = \frac{20100}{589} = 34.\overline{125636672325976230899830220713073005093378607809847198641765704584040747028862478777589134}\]
\[\begin{aligned}\frac{20.10}{58.9} \cdot 100& = \left(20 + \frac{1}{10}\right) \cdot \frac{1}{58 + \frac{9}{10}} \cdot 100\\& = \frac{201}{10} \cdot \frac{1}{58 + \frac{9}{10}} \cdot 100\\& = \frac{201}{10} \cdot \frac{1}{\frac{589}{10}} \cdot 100\\& = \frac{201}{10} \cdot \frac{10}{589} \cdot 100\\& = \frac{201}{589} \cdot 100\\& = \frac{20100}{589}\end{aligned}\]