Question

1. \\(\frac{9}{16} \div \frac{3}{4} \cdot \frac{2}{13}\\) 8. \\(\frac{7}{8} - \frac{3}{8} \div 9\\) (and other fractional operation expressions above)

Explanation:

Step1: Rewrite division as multiplication

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

Step2: Multiply first two fractions

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

Step3: Multiply result by last fraction

$\frac{3}{4} \times \frac{2}{13} = \frac{3 \times 2}{4 \times 13} = \frac{6}{52}$

Step4: Simplify the final fraction

$\frac{6 \div 2}{52 \div 2} = \frac{3}{26}$

(for incomplete Q8):

Step1: Clarify the full expression

Assuming the full problem is $\frac{7}{8} - \frac{3}{8} \div 9$

Step2: Compute division first

$\frac{3}{8} \div 9 = \frac{3}{8} \times \frac{1}{9} = \frac{3}{72} = \frac{1}{24}$

Step3: Subtract the results

$\frac{7}{8} - \frac{1}{24} = \frac{21}{24} - \frac{1}{24} = \frac{20}{24}$

Step4: Simplify the fraction

$\frac{20 \div 4}{24 \div 4} = \frac{5}{6}$

Answer:

$\frac{3}{26}$

---