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Question:

Find the value of p from the following.

1$\frac{2}{3}$ ÷ $\frac{4}{9}$ ÷ $\frac{p}{9}$ = 1$\frac{1}{4}$ × $\frac{2}{3}$ ÷ $\frac{1}{6}$​​​​​​​

Explanation:

1$\frac{2}{3}$ ÷ $\frac{4}{9}$ ÷ $\frac{p}{9}$ = 1$\frac{1}{4}$ × $\frac{2}{3}$ ÷ $\frac{1}{6}$

⇒ $\frac{5}{3}$ ÷ $\frac{4}{\mathrm{p}}$ = $\frac{5}{4}$ × 4

⇒ $\frac{5\mathrm{p}}{12}$ = 5

⇒ p = 12

Hence, option (a).