(4 1/3 / 11/5 ) * 55/78
You asked:
Evaluate the expression: \(\frac{\frac{4\frac{1}{3}}{\frac{11}{5}} \cdot 55}{78}\)
MathBot Answer:
\[\frac{\frac{4\frac{1}{3}}{\frac{11}{5}} \cdot 55}{78} = \frac{25}{18} = 1.3\overline{8}\]
\[\begin{aligned}\frac{\frac{4\frac{1}{3}}{\frac{11}{5}} \cdot 55}{78}& = 4\frac{1}{3} \cdot \frac{1}{\frac{11}{5}} \cdot \frac{55}{78}\\& = 4\frac{1}{3} \cdot \frac{5}{11} \cdot \frac{55}{78}\\& = \frac{65}{33} \cdot \frac{55}{78}\\& = \frac{25}{18}\end{aligned}\]