4(2/7) ÷ 2(2/5) = ..........................

Question

\(4\frac{2}{7} ÷ 2\frac{2}{5}\)= ................

A)  \(1\frac{11}{14} \)

B) \(1\frac{1}{7} \)

C) \(12\frac{3}{4} \)

D) \(11\frac{1}{7} \)

Answer 1

Correct option is (A) 1 11/14

\(4\frac{2}{7}\div2\frac{2}{5}\) \(=\frac{4\times7+2}{7}\div\frac{2\times5+2}{5}\) \(=\frac{30}{7}\div\frac{12}{5}\)

\(=\frac{30}{7}\times\frac5{12}=\frac{5\times5}{7\times2}\) \(=\frac{25}{14}=\frac{14+11}{14}=1+\frac{11}{14}\)

\(=1\frac{11}{14}.\)

Answer 2

Correct option is   A)  \(1\frac{11}{14} \)