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

asked by guest
on Nov 17, 2024 at 3:23 am



You asked:

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

MathBot Answer:

\[\frac{3}{7} - \frac{\frac{\frac{1}{3}}{2}}{9} + \frac{5}{6} = \frac{235}{189} = 1.\overline{243386}\]

\[\begin{aligned}\frac{3}{7} - \frac{\frac{\frac{1}{3}}{2}}{9} + \frac{5}{6}& = \frac{3}{7} - \frac{1}{3} \cdot \frac{1}{2} \cdot \frac{1}{9} + \frac{5}{6}\\& = \frac{3}{7} - \frac{1}{3} \cdot \frac{1}{18} + \frac{5}{6}\\& = \frac{3}{7} - \frac{1}{54} + \frac{5}{6}\\& = \frac{155}{378} + \frac{5}{6}\\& = \frac{235}{189}\end{aligned}\]

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