3/2 + 4/13 divided by 3/52 - 6
You asked:
Evaluate the expression: \(\frac{3}{2} + \frac{\frac{4}{13}}{\frac{3}{52}} - 6\)
MathBot Answer:
\[\frac{3}{2} + \frac{\frac{4}{13}}{\frac{3}{52}} - 6 = \frac{5}{6} = 0.8\overline{3}\]
\[\begin{aligned}\frac{3}{2} + \frac{\frac{4}{13}}{\frac{3}{52}} - 6& = \frac{3}{2} + \frac{4}{13} \cdot \frac{1}{\frac{3}{52}} - 6\\& = \frac{3}{2} + \frac{16}{3} - 6\\& = \frac{41}{6} - 6\\& = \frac{5}{6}\end{aligned}\]