(7/5*3/12)+(7/5+5/12)
You asked:
Evaluate the expression: \(\frac{\frac{7}{5} \cdot 3}{12} + \frac{7}{5} + \frac{5}{12}\)
MathBot Answer:
\[\frac{\frac{7}{5} \cdot 3}{12} + \frac{7}{5} + \frac{5}{12} = \frac{13}{6} = 2.1\overline{6}\]
\[\begin{aligned}\frac{\frac{7}{5} \cdot 3}{12} + \frac{7}{5} + \frac{5}{12}& = \frac{7}{5} \cdot \frac{3}{12} + \frac{7}{5} + \frac{5}{12}\\& = \frac{7}{5} \cdot \frac{1}{4} + \frac{7}{5} + \frac{5}{12}\\& = \frac{7}{20} + \frac{7}{5} + \frac{5}{12}\\& = \frac{7}{4} + \frac{5}{12}\\& = \frac{13}{6}\end{aligned}\]