Question

1. \\(\frac{9}{16} \div \frac{3}{4} \times \frac{2}{13}\\)

Explanation:

Step1: Rewrite division as multiplication

$\frac{9}{16} \div \frac{3}{4} \times \frac{2}{13} = \frac{9}{16} \times \frac{4}{3} \times \frac{2}{13}$

Step2: Simplify first two fractions

$\frac{9 \times 4}{16 \times 3} = \frac{36}{48} = \frac{3}{4}$

Step3: Multiply with remaining fraction

$\frac{3}{4} \times \frac{2}{13} = \frac{3 \times 2}{4 \times 13}$

Step4: Simplify the final product

$\frac{6}{52} = \frac{3}{26}$

Answer:

$\frac{3}{26}$