2+{(5/4)-[(3/8)*(2+(1/3))/(4/3)]}*(2/4)

asked by guest
on Jan 10, 2025 at 8:01 am



You asked:

Evaluate the expression: 2+(54−38(2+13)43)⋅242 + \left(\frac{5}{4} - \frac{\frac{3}{8} \left(2 + \frac{1}{3}\right)}{\frac{4}{3}}\right) \cdot \frac{2}{4}

MathBot Answer:

2+(54−38(2+13)43)⋅24=14764=2.2968752 + \left(\frac{5}{4} - \frac{\frac{3}{8} \left(2 + \frac{1}{3}\right)}{\frac{4}{3}}\right) \cdot \frac{2}{4} = \frac{147}{64} = 2.296875

2+(54−38(2+13)43)⋅24=2+(54−38⋅7343)⋅24=2+(54−7843)⋅24=2+(54−2132)⋅24=2+1932⋅24=2+1932⋅12=2+1964=14764\begin{aligned}2 + \left(\frac{5}{4} - \frac{\frac{3}{8} \left(2 + \frac{1}{3}\right)}{\frac{4}{3}}\right) \cdot \frac{2}{4}&=2 + \left(\frac{5}{4} - \frac{\frac{3}{8} \cdot \frac{7}{3}}{\frac{4}{3}}\right) \cdot \frac{2}{4}\\&=2 + \left(\frac{5}{4} - \frac{\frac{7}{8}}{\frac{4}{3}}\right) \cdot \frac{2}{4}\\&=2 + \left(\frac{5}{4} - \frac{21}{32}\right) \cdot \frac{2}{4}\\&=2 + \frac{19}{32} \cdot \frac{2}{4}\\&=2 + \frac{19}{32} \cdot \frac{1}{2}\\&=2 + \frac{19}{64}\\&=\frac{147}{64}\end{aligned}

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