3 5/9+(1/6-3/4 /4 1/2)

asked by guest
on Nov 17, 2024 at 5:53 am



You asked:

Evaluate the expression: \(3\frac{5}{9} + \frac{1}{6} - \frac{\frac{3}{4}}{4\frac{1}{2}}\)

MathBot Answer:

\[3\frac{5}{9} + \frac{1}{6} - \frac{\frac{3}{4}}{4\frac{1}{2}} = \frac{32}{9} = 3.\overline{5}\]

\[\begin{aligned}3\frac{5}{9} + \frac{1}{6} - \frac{\frac{3}{4}}{4\frac{1}{2}}& = 3\frac{5}{9} + \frac{1}{6} - \frac{3}{4} \cdot \frac{1}{4\frac{1}{2}}\\& = 3\frac{5}{9} + \frac{1}{6} - \frac{1}{6}\\& = \frac{67}{18} - \frac{1}{6}\\& = \frac{32}{9}\end{aligned}\]

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