2/3 of 1/8 +5/12 divided by 1/9

asked by guest
on Jan 10, 2025 at 3:03 pm



You asked:

Evaluate the expression: \(\frac{2}{3} \left(\frac{1}{8} + \frac{\frac{5}{12}}{\frac{1}{9}}\right)\)

MathBot Answer:

\[\frac{2}{3} \left(\frac{1}{8} + \frac{\frac{5}{12}}{\frac{1}{9}}\right) = \frac{31}{12} = 2.58\overline{3}\]

\[\begin{aligned}\frac{2}{3} \left(\frac{1}{8} + \frac{\frac{5}{12}}{\frac{1}{9}}\right)& = \frac{2}{3} \cdot \left(\frac{1}{8} + \frac{5}{12} \cdot \frac{1}{\frac{1}{9}}\right)\\& = \frac{2}{3} \cdot \left(\frac{1}{8} + \frac{15}{4}\right)\\& = \frac{2}{3} \cdot \frac{31}{8}\\& = \frac{31}{12}\end{aligned}\]

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