11/2-{2/5 of 5/6+(7+7/4)}

asked by guest
on Mar 16, 2025 at 10:52 pm



You asked:

Evaluate the expression: 11225(56+7+74)\frac{11}{2} - \frac{2}{5} \left(\frac{5}{6} + 7 + \frac{7}{4}\right)

MathBot Answer:

11225(56+7+74)=53=1.6\frac{11}{2} - \frac{2}{5} \left(\frac{5}{6} + 7 + \frac{7}{4}\right) = \frac{5}{3} = 1.\overline{6}


11225(56+7+74)=11225(56+354)=1122511512=112236=53\begin{aligned}\frac{11}{2} - \frac{2}{5} \left(\frac{5}{6} + 7 + \frac{7}{4}\right)&=\frac{11}{2} - \frac{2}{5} \left(\frac{5}{6} + \frac{35}{4}\right)\\&=\frac{11}{2} - \frac{2}{5} \cdot \frac{115}{12}\\&=\frac{11}{2} - \frac{23}{6}\\&=\frac{5}{3}\end{aligned}