8 ¼ × 7 ½ × 5 ¾
You asked:
Evaluate the expression: \(8 \cdot \frac{1}{4} \cdot 7 \cdot \frac{1}{2} \cdot 5 \cdot \frac{3}{4}\)
MathBot Answer:
\[8 \cdot \frac{1}{4} \cdot 7 \cdot \frac{1}{2} \cdot 5 \cdot \frac{3}{4} = \frac{105}{4} = 26.25\]
\[\begin{aligned}8 \cdot \frac{1}{4} \cdot 7 \cdot \frac{1}{2} \cdot 5 \cdot \frac{3}{4}& = \frac{8}{4} \cdot \frac{7}{2} \cdot 5 \cdot \frac{3}{4}\\& = 2 \cdot \frac{7}{2} \cdot 5 \cdot \frac{3}{4}\\& = \frac{14}{2} \cdot 5 \cdot \frac{3}{4}\\& = 7 \cdot 5 \cdot \frac{3}{4}\\& = 35 \cdot \frac{3}{4}\\& = \frac{105}{4}\end{aligned}\]