¾ + 2/5 ÷ 3/5 of 12/3
You asked:
Evaluate the expression: \(\frac{3}{4} + \frac{\frac{2}{5}}{\frac{3}{5} \cdot \frac{12}{3}}\)
MathBot Answer:
\[\frac{3}{4} + \frac{\frac{2}{5}}{\frac{3}{5} \cdot \frac{12}{3}} = \frac{11}{12} = 0.91\overline{6}\]
\[\begin{aligned}\frac{3}{4} + \frac{\frac{2}{5}}{\frac{3}{5} \cdot \frac{12}{3}}& = \frac{3}{4} + \frac{2}{5} \cdot \frac{1}{\frac{3}{5} \cdot \frac{12}{3}}\\& = \frac{3}{4} + \frac{2}{5} \cdot \frac{1}{\frac{12}{5}}\\& = \frac{3}{4} + \frac{1}{6}\\& = \frac{11}{12}\end{aligned}\]