Question

(\frac{3}{14} \times \frac{2}{5} div \frac{6}{7})

Explanation:

Step1: Rewrite division as multiplication

Dividing by a fraction is multiplying by its reciprocal:
$\frac{3}{14} \times \frac{2}{5} \times \frac{7}{6}$

Step2: Multiply numerators and denominators

Multiply all top terms and bottom terms together:
$\frac{3 \times 2 \times 7}{14 \times 5 \times 6}$

Step3: Simplify the fraction

Cancel common factors (3 with 6, 2 with 14, 7 with remaining 7):
$\frac{1 \times 1 \times 1}{2 \times 5 \times 2} = \frac{1}{20}$

Answer:

$\frac{1}{20}$