41/7 - 21/431/2 + 11/7 ÷ 12 + 12 + 15 - 1/5 is equal to = ?

Answer: Option A

$$\begin{array}{rl}& \text{Take first part }\\ & \frac{4\frac{1}{7}-2\frac{1}{4}}{3\frac{1}{2}+1\frac{1}{7}}\\ & =\frac{\frac{29}{7}-\frac{9}{4}}{\frac{7}{2}+\frac{8}{7}}\\ & =\frac{\frac{116-63}{28}}{\frac{49+16}{14}}\\ & =\frac{53}{28}\times \frac{14}{65}\\ & =\frac{53}{130}\\ & \text{The second part}\\ & \frac{1}{2+\frac{1}{2+\frac{1}{5-\frac{1}{5}}}}\\ & =\frac{1}{2+\frac{1}{2+\frac{1}{\frac{25-1}{5}}}}\\ & =\frac{1}{2+\frac{1}{2+\frac{5}{24}}}\\ & =\frac{1}{2+\frac{1}{\frac{53}{24}}}\\ & =\frac{1}{2+\frac{24}{53}}\\ & =\frac{1}{\frac{106+24}{53}}\\ & =\frac{53}{130}\\ & \text{According to question,}\\ & \sqrt{\frac{53}{130}÷\frac{53}{130}}\\ & =\sqrt{\frac{53}{130}\times \frac{130}{53}}\\ & =\sqrt{1}\\ & =1\end{array}$$