(3/4 -5/12)/1-(3/4)(-5/12)
You asked:
Evaluate the expression: \(\frac{\frac{3}{4} - \frac{5}{12}}{1} - \frac{3}{4} \cdot \frac{-5}{12}\)
MathBot Answer:
\[\frac{\frac{3}{4} - \frac{5}{12}}{1} - \frac{3}{4} \cdot \frac{-5}{12} = \frac{31}{48} = 0.6458\overline{3}\]
\[\begin{aligned}\frac{\frac{3}{4} - \frac{5}{12}}{1} - \frac{3}{4} \cdot \frac{-5}{12}& = \left(\frac{3}{4} - \frac{5}{12}\right) \cdot 1^{-1} - \frac{3}{4} \cdot - \frac{5}{12}\\& = \frac{1}{3} \cdot 1^{-1} - \frac{3}{4} \cdot - \frac{5}{12}\\& = \frac{1}{3} - \frac{3}{4} \cdot - \frac{5}{12}\\& = \frac{1}{3} - - \frac{5}{16}\\& = \frac{1}{3} + \frac{5}{16}\\& = \frac{31}{48}\end{aligned}\]