0.1 divide .12.3

asked by guest
on Nov 13, 2024 at 1:18 am



You asked:

Evaluate the expression: \(\frac{0.1}{.12 \cdot .3}\)

MathBot Answer:

\[\frac{0.1}{.12 \cdot .3} = \frac{25}{9} = 2.\overline{7}\]

\[\begin{aligned}\frac{0.1}{.12 \cdot .3}& = \frac{1}{10} \cdot \frac{1}{\frac{12}{100} \cdot \frac{3}{10}}\\& = \frac{1}{10} \cdot \frac{1}{\frac{3}{25} \cdot \frac{3}{10}}\\& = \frac{1}{10} \cdot \frac{1}{\frac{9}{25} \cdot \frac{1}{10}}\\& = \frac{1}{10} \cdot \frac{1}{\frac{9}{250}}\\& = 1 \cdot \frac{25}{9}\\& = \frac{25}{9}\end{aligned}\]

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