3-4/7 * 2-1/2 / 6-1/4 -1-1/4

asked by guest
on Jan 10, 2025 at 1:13 pm



You asked:

Evaluate the expression: \(3 - \frac{4}{7} \cdot 2 - \frac{\frac{1}{2}}{6} - \frac{1}{4} - 1 - \frac{1}{4}\)

MathBot Answer:

\[3 - \frac{4}{7} \cdot 2 - \frac{\frac{1}{2}}{6} - \frac{1}{4} - 1 - \frac{1}{4} = \frac{23}{84} = 0.27\overline{380952}\]

\[\begin{aligned}3 - \frac{4}{7} \cdot 2 - \frac{\frac{1}{2}}{6} - \frac{1}{4} - 1 - \frac{1}{4}& = 3 - \frac{4}{7} \cdot 2 - \frac{1}{2} \cdot \frac{1}{6} - \frac{1}{4} - 1 - \frac{1}{4}\\& = 3 - \frac{8}{7} - \frac{1}{2} \cdot \frac{1}{6} - \frac{1}{4} - 1 - \frac{1}{4}\\& = 3 - \frac{8}{7} - \frac{1}{12} - \frac{1}{4} - 1 - \frac{1}{4}\\& = \frac{13}{7} - \frac{1}{12} - \frac{1}{4} - 1 - \frac{1}{4}\\& = \frac{149}{84} - \frac{1}{4} - 1 - \frac{1}{4}\\& = \frac{32}{21} - 1 - \frac{1}{4}\\& = \frac{11}{21} - \frac{1}{4}\\& = \frac{23}{84}\end{aligned}\]

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