Question

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

Answer 1

Dear student
$$\begin{gathered} 1\frac{2}{3}÷\frac{2}{7}\times \frac{\mathrm{x}}{7}=1\frac{1}{4}\times \frac{2}{3}÷\frac{1}{6} \\ \frac{5}{3}÷\frac{2\mathrm{x}}{49}=\frac{5}{4}\times \frac{2}{3}\times 6 \\ \frac{5}{3}\times \frac{49}{2\mathrm{x}}=5 \\ \frac{49}{3}=2\mathrm{x} \\ \mathrm{x}=\frac{49}{6} \end{gathered}$$
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