1. The problem asks to find two pairs of equivalent fractions from the list and circle the fraction in simplest form in each pair. 2. Check each fraction pair for equivalence by cross-multiplying or simplifying: - $\frac{16}{20}$ and $\frac{9}{12}$: Simplify $\frac{16}{20} = \frac{4}{5}$ and $\frac{9}{12} = \frac{3}{4}$. These are not equivalent. - $\frac{10}{15}$ and $\frac{2}{3}$: Simplify $\frac{10}{15} = \frac{2}{3}$, so these are equivalent. - Check $\frac{16}{20}$ and $\frac{6}{10}$: Simplify $\frac{16}{20} = \frac{4}{5}$ and $\frac{6}{10} = \frac{3}{5}$, not equivalent. - Check $\frac{9}{12}$ and $\frac{6}{10}$: Simplify $\frac{9}{12} = \frac{3}{4}$ and $\frac{6}{10} = \frac{3}{5}$, not equivalent. - Check $\frac{16}{20}$ and $\frac{4}{5}$: $\frac{16}{20} = \frac{4}{5}$, so these are equivalent. 3. The two pairs of equivalent fractions are: - $\frac{16}{20}$ and $\frac{4}{5}$, simplest form is $\frac{4}{5}$. - $\frac{10}{15}$ and $\frac{2}{3}$, simplest form is $\frac{2}{3}$. 4. Next, circle the smaller number in each box comparing mixed/improper fractions and decimals: - Box 1: Compare $1 \frac{1}{2} = \frac{3}{2} = 1.5$ and $1.2$. Smaller is $1.2$. - Box 2: Compare $1 \frac{1}{3} = \frac{4}{3} \approx 1.333$ and $1.3$. Smaller is $1.3$. - Box 3: Compare $1 \frac{1}{4} = \frac{5}{4} = 1.25$ and $1.4$. Smaller is $1 \frac{1}{4}$. - Box 4: Compare $1 \frac{1}{5} = \frac{6}{5} = 1.2$ and $1.5$. Smaller is $1 \frac{1}{5}$. Final answers: - Equivalent pairs: $\frac{16}{20} = \frac{4}{5}$ (circle $\frac{4}{5}$), $\frac{10}{15} = \frac{2}{3}$ (circle $\frac{2}{3}$). - Smaller numbers circled: $1.2$, $1.3$, $1 \frac{1}{4}$, $1 \frac{1}{5}$.