(5 × 7 × 2 × 17) ÷ (14 × 34 × 35)
You asked:
Evaluate the expression: \(\frac{5 \cdot 7 \cdot 2 \cdot 17}{14 \cdot 34 \cdot 35}\)
MathBot Answer:
\[\frac{5 \cdot 7 \cdot 2 \cdot 17}{14 \cdot 34 \cdot 35} = \frac{1}{14} = 0.0\overline{714285}\]
\[\begin{aligned}\frac{5 \cdot 7 \cdot 2 \cdot 17}{14 \cdot 34 \cdot 35}& = 5 \cdot 7 \cdot 2 \cdot 17 \cdot \frac{1}{14 \cdot 34 \cdot 35}\\& = 5 \cdot 7 \cdot 2 \cdot 17 \cdot \frac{1}{476 \cdot 35}\\& = 5 \cdot 7 \cdot 2 \cdot \frac{17}{16660}\\& = 5 \cdot 7 \cdot \frac{2}{980}\\& = 35 \cdot \frac{2}{980}\\& = \frac{70}{980}\\& = \frac{1}{14}\end{aligned}\]