4/5*(1/2+1/3)/5/6
asked by guest on Jan 29, 2025 at 7:36 pm
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MathBot Answer:
45(12+13)56=145=0.02‾\frac{\frac{\frac{4}{5} \left(\frac{1}{2} + \frac{1}{3}\right)}{5}}{6} = \frac{1}{45} = 0.0\overline{2}6554(21+31)=451=0.02
45(12+13)56=45⋅(12+13)⋅15⋅16=45⋅56⋅15⋅16=45⋅56⋅130=23⋅130=145\begin{aligned}\frac{\frac{\frac{4}{5} \left(\frac{1}{2} + \frac{1}{3}\right)}{5}}{6}& = \frac{4}{5} \cdot \left(\frac{1}{2} + \frac{1}{3}\right) \cdot \frac{1}{5} \cdot \frac{1}{6}\\& = \frac{4}{5} \cdot \frac{5}{6} \cdot \frac{1}{5} \cdot \frac{1}{6}\\& = \frac{4}{5} \cdot \frac{5}{6} \cdot \frac{1}{30}\\& = \frac{2}{3} \cdot \frac{1}{30}\\& = \frac{1}{45}\end{aligned}6554(21+31)=54⋅(21+31)⋅51⋅61=54⋅65⋅51⋅61=54⋅65⋅301=32⋅301=451