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

asked by guest
on Nov 17, 2024 at 2:44 pm



You asked:

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

MathBot Answer:

\[\frac{5}{\frac{2}{4} + 1} - 3 \cdot \left(\frac{1}{2} - \frac{1}{4}\right) = \frac{31}{12} = 2.58\overline{3}\]

\[\begin{aligned}\frac{5}{\frac{2}{4} + 1} - 3 \cdot \left(\frac{1}{2} - \frac{1}{4}\right)& = 5 \cdot \frac{1}{\frac{2}{4} + 1} - 3 \cdot \left(\frac{1}{2} - \frac{1}{4}\right)\\& = 5 \cdot \frac{1}{\frac{3}{2}} - 3 \cdot \left(\frac{1}{2} - \frac{1}{4}\right)\\& = \frac{10}{3} - 3 \cdot \left(\frac{1}{2} - \frac{1}{4}\right)\\& = \frac{10}{3} - \frac{3}{4}\\& = \frac{31}{12}\end{aligned}\]

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