1. The problem is to determine which fraction is larger: $\frac{2}{3}$ or $\frac{7}{10}$. 2. To compare fractions, we find a common denominator. The denominators are 3 and 10. The least common denominator (LCD) is the least common multiple of 3 and 10, which is 30. 3. Convert each fraction to an equivalent fraction with denominator 30: $$\frac{2}{3} = \frac{2 \times 10}{3 \times 10} = \frac{20}{30}$$ $$\frac{7}{10} = \frac{7 \times 3}{10 \times 3} = \frac{21}{30}$$ 4. Now compare the numerators: 20 and 21. Since 21 is greater than 20, $\frac{7}{10}$ is greater than $\frac{2}{3}$. 5. Therefore, $\frac{7}{10}$ is greater than $\frac{2}{3}$. Final answer: $\frac{7}{10} > \frac{2}{3}$.