0.414/8.9

asked by guest
on Sep 23, 2024 at 6:20 am



You asked:

Evaluate the expression: \(\frac{0.414}{8.9}\)

MathBot Answer:

\[\frac{0.414}{8.9} = \frac{207}{4450} = 0.04\overline{65168539325842696629213483146067415730337078}\]


\[\begin{aligned}\frac{0.414}{8.9}& = \frac{414}{1000} \cdot \frac{1}{8 + \frac{9}{10}}\\& = \frac{414}{1000} \cdot \frac{1}{\frac{89}{10}}\\& = \frac{414}{8900}\\& = \frac{207}{4450}\end{aligned}\]