(3/7 - 1/3) / (2/9 + 5/6)

asked by guest
on Nov 17, 2024 at 3:25 am



You asked:

Evaluate the expression: \(\frac{\frac{3}{7} - \frac{1}{3}}{\frac{2}{9} + \frac{5}{6}}\)

MathBot Answer:

\[\frac{\frac{3}{7} - \frac{1}{3}}{\frac{2}{9} + \frac{5}{6}} = \frac{12}{133} = 0.\overline{090225563909774436}\]

\[\begin{aligned}\frac{\frac{3}{7} - \frac{1}{3}}{\frac{2}{9} + \frac{5}{6}}& = \left(\frac{3}{7} - \frac{1}{3}\right) \cdot \frac{1}{\frac{2}{9} + \frac{5}{6}}\\& = \frac{2}{21} \cdot \frac{1}{\frac{2}{9} + \frac{5}{6}}\\& = \frac{2}{21} \cdot \frac{1}{\frac{19}{18}}\\& = \frac{12}{133}\end{aligned}\]

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