4/5*(1/2+1/3)/5/6

asked by guest
on Jan 29, 2025 at 7:32 pm



You asked:

Evaluate the expression: 45(12+13)56\frac{\frac{\frac{4}{5} \left(\frac{1}{2} + \frac{1}{3}\right)}{5}}{6}

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}


45(12+13)56=45(12+13)1516=45561516=4556130=23130=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}