Question

Evaluate:
$\frac{1}{\frac{7}{9}}+\frac{1}{\frac{5}{3}}$

• A. $\frac{66}{27}$
• B. $\frac{66}{35}$
• C. $\frac{27}{66}$
• D. $\frac{35}{66}$

Answer 1

Answer: (B)

$\frac{66}{35}$

Given $\frac{1}{\frac{7}{9}}+\frac{1}{\frac{5}{3}}$

$=\frac{9}{7}+\frac{3}{5}$ --------[since $\frac{1}{\frac{1}{x}}=x$]

$=\frac{45+21}{35}=\frac{66}{35}$

Option B.