(15/2รท3/4)+(8/9*1/3)
You asked:
Evaluate the expression: \(\frac{\frac{\frac{15}{2}}{3}}{4} + \frac{\frac{8}{9} \cdot 1}{3}\)
MathBot Answer:
\[\frac{\frac{\frac{15}{2}}{3}}{4} + \frac{\frac{8}{9} \cdot 1}{3} = \frac{199}{216} = 0.921\overline{296}\]
\[\begin{aligned}\frac{\frac{\frac{15}{2}}{3}}{4} + \frac{\frac{8}{9} \cdot 1}{3}& = \frac{15}{2} \cdot \frac{1}{3} \cdot \frac{1}{4} + \frac{8}{9} \cdot \frac{1}{3}\\& = \frac{15}{2} \cdot \frac{1}{12} + \frac{8}{9} \cdot \frac{1}{3}\\& = \frac{5}{8} + \frac{8}{9} \cdot \frac{1}{3}\\& = \frac{5}{8} + \frac{8}{27}\\& = \frac{199}{216}\end{aligned}\]