Full solution

2

\left(1 \frac{1}{3} \div \frac{4}{9}\right) \div \frac{5}{16} \times 4 \frac{1}{6}

simplifies to?

\mathrm{A}

Convert to Improper Fractions: Convert mixed numbers to improper fractions. $\newline$ $1\frac{1}{3} = \frac{3\times1 + 1}{3} = \frac{4}{3}$ $\newline$ $4\frac{1}{6} = \frac{4\times6 + 1}{6} = \frac{25}{6}$
Rewrite with Improper Fractions: Rewrite the expression with improper fractions. $\newline$ $(\frac{4}{3} \div \frac{4}{9}) \div \frac{5}{16} \times \frac{25}{6}$
Divide First Two Fractions: Divide the first two fractions. $\newline$ $(\frac{4}{3}) \div (\frac{4}{9}) = (\frac{4}{3}) \times (\frac{9}{4}) = \frac{36}{12}$
Simplify Fraction: Simplify $36/12$ . $\newline$ $36/12 = 3$
Rewrite with Simplified Fraction: Rewrite the expression with the simplified fraction. $\newline$ $3 \div \frac{5}{16} \times \frac{25}{6}$
Divide by Fraction: Divide $3$ by $\frac{5}{16}$ . $\newline$ $3 \div \frac{5}{16} = 3 \times \frac{16}{5} = \frac{48}{5}$
Multiply by Fraction: Multiply the result by $\frac{25}{6}$ . $\left(\frac{48}{5}\right) \times \left(\frac{25}{6}\right) = \frac{1200}{30}$
Simplify Result: Simplify $1200/30$ . $\newline$ $1200/30 = 40$