Question

1. \\(\frac{3}{14} \cdot \frac{2}{5} \div \frac{6}{7}\\)

Explanation:

Step1: Rewrite division as multiplication

$\frac{3}{14} \times \frac{2}{5} \times \frac{7}{6}$

Step2: Multiply numerators and denominators

$\frac{3 \times 2 \times 7}{14 \times 5 \times 6}$

Step3: Simplify the fraction

$\frac{42}{420} = \frac{1}{10}$

Answer:

$\frac{1}{10}$