Question

Find the value of $x$ in the following:
$1\frac{2}{3}÷\frac{2}{7}\times \frac{x}{7}=1\frac{1}{4}\times \frac{2}{3}÷\frac{1}{6}$

• A. $0.006$
• B. $\frac{1}{6}$
• C. $0.6$
• D. $6$

Answer 1

Answer: (D)

$6$

$\frac{5}{3}÷\frac{2}{7}\times \frac{x}{7}=\frac{5}{4}\times \frac{2}{3}÷\frac{1}{6}$
$\Rightarrow \frac{5}{3}\times \frac{7}{2}\times \frac{x}{7}=\frac{5}{4}\times \frac{2}{3}\times \frac{6}{1}$
$\Rightarrow \frac{5}{6}\times x=5\Rightarrow x=\frac{5\times 6}{5}=6$