Question

Evaluate : $\frac{\frac{1}{2}+3\frac{1}{4}+1\frac{1}{6}}{2\frac{1}{2}+1\frac{1}{6}+6\frac{1}{3}}+\frac{1}{120}$

• A. $\frac{59}{17}$
• B. $\frac{1}{12}$
• C. $\frac{6}{7}$
• D. $\frac{1}{2}$

Answer 1

Answer: (D)

$\frac{1}{2}$

Consider the given expression,

$\Rightarrow \frac{\frac{1}{2}+3\frac{1}{4}+1\frac{1}{6}}{2\frac{1}{2}+1\frac{1}{6}+6\frac{1}{3}}+\frac{1}{120}$

$\Rightarrow \frac{\frac{1}{2}+\frac{13}{4}+\frac{7}{6}}{\frac{5}{2}+\frac{7}{6}+\frac{19}{3}}+\frac{1}{120}$

$\Rightarrow \frac{\frac{6+39+14}{12}}{\frac{30+14+76}{12}}+\frac{1}{120}$

$\Rightarrow \frac{59}{120}+\frac{1}{120}$

$\Rightarrow \frac{59+1}{120}$

$\Rightarrow \frac{60}{120}$

$\Rightarrow \frac{1}{2}$

Hence, this is the answer.