5/3*6/2(3+2*4/4)+(1+2)/3

asked by eeaibankura
on Sep 25, 2024 at 5:21 am



You asked:

Evaluate the expression: \(\frac{\frac{5}{3} \cdot 6}{2 \cdot \left(3 + \frac{2 \cdot 4}{4}\right)} + \frac{1 + 2}{3}\)

MathBot Answer:

\[\frac{\frac{5}{3} \cdot 6}{2 \cdot \left(3 + \frac{2 \cdot 4}{4}\right)} + \frac{1 + 2}{3} = 2\]

\[\begin{aligned}\frac{\frac{5}{3} \cdot 6}{2 \cdot \left(3 + \frac{2 \cdot 4}{4}\right)} + \frac{1 + 2}{3}& = \frac{5}{3} \cdot 6 \cdot \frac{1}{2 \cdot \left(3 + 2 \cdot \frac{4}{4}\right)} + \left(1 + 2\right) \cdot \frac{1}{3}\\& = \frac{5}{3} \cdot 6 \cdot \frac{1}{2 \cdot \left(3 + 2 \cdot 1\right)} + \left(1 + 2\right) \cdot \frac{1}{3}\\& = \frac{5}{3} \cdot 6 \cdot \frac{1}{2 \cdot \left(3 + 2\right)} + \left(1 + 2\right) \cdot \frac{1}{3}\\& = \frac{5}{3} \cdot 6 \cdot \frac{1}{2 \cdot 5} + \left(1 + 2\right) \cdot \frac{1}{3}\\& = \frac{5}{3} \cdot \frac{6}{10} + \left(1 + 2\right) \cdot \frac{1}{3}\\& = \frac{5}{3} \cdot \frac{3}{5} + \left(1 + 2\right) \cdot \frac{1}{3}\\& = 1 + \left(1 + 2\right) \cdot \frac{1}{3}\\& = 1 + \frac{3}{3}\\& = 1 + 1\\& = 2\end{aligned}\]

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