15/18 / 2 9/10 / 10 / 7/6 =

asked by guest
on Oct 18, 2024 at 1:43 am



You asked:

Evaluate the expression: \(\frac{\frac{\frac{\frac{\frac{15}{18}}{2\frac{9}{10}}}{10}}{7}}{6}\)

MathBot Answer:

\[\frac{\frac{\frac{\frac{\frac{15}{18}}{2\frac{9}{10}}}{10}}{7}}{6} = \frac{5}{7308} = 0.00\overline{068418171866447728516694033935413245758073344280240831964969896004378762999452654625}\]

\[\begin{aligned}\frac{\frac{\frac{\frac{\frac{15}{18}}{2\frac{9}{10}}}{10}}{7}}{6}& = \frac{15}{18} \cdot \frac{1}{2\frac{9}{10}} \cdot \frac{1}{10} \cdot \frac{1}{7} \cdot \frac{1}{6}\\& = \frac{15}{18} \cdot \frac{10}{29} \cdot \frac{1}{10} \cdot \frac{1}{7} \cdot \frac{1}{6}\\& = \frac{15}{18} \cdot \frac{10}{29} \cdot \frac{1}{10} \cdot \frac{1}{42}\\& = \frac{25}{87} \cdot \frac{1}{10} \cdot \frac{1}{42}\\& = \frac{5}{174} \cdot \frac{1}{42}\\& = \frac{5}{7308}\end{aligned}\]

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