(7/5*-3/12)+(7/5*5/12)

asked by guest
on Sep 20, 2024 at 9:45 am



You asked:

Evaluate the expression: \(\frac{\frac{7}{5} \cdot -3}{12} + \frac{\frac{7}{5} \cdot 5}{12}\)

MathBot Answer:

\[\frac{\frac{7}{5} \cdot -3}{12} + \frac{\frac{7}{5} \cdot 5}{12} = \frac{7}{30} = 0.2\overline{3}\]


\[\begin{aligned}\frac{\frac{7}{5} \cdot -3}{12} + \frac{\frac{7}{5} \cdot 5}{12}& = \frac{7}{5} \cdot \frac{-3}{12} + \frac{7}{5} \cdot \frac{5}{12}\\& = \frac{7}{5} \cdot - \frac{1}{4} + \frac{7}{5} \cdot \frac{5}{12}\\& = - \frac{7}{20} + \frac{7}{5} \cdot \frac{5}{12}\\& = - \frac{7}{20} + \frac{7}{12}\\& = \frac{7}{30}\end{aligned}\]