1. The problem is to find equivalent fractions for $\frac{5}{6}$ and $\frac{3}{4}$ using the least common denominator (LCD). 2. The LCD is the smallest number that both denominators (6 and 4) divide into evenly. 3. Find the LCD of 6 and 4 by listing multiples or using prime factorization: - Multiples of 6: 6, 12, 18, 24, ... - Multiples of 4: 4, 8, 12, 16, 20, 24, ... - The smallest common multiple is 12. 4. Convert each fraction to an equivalent fraction with denominator 12: - For $\frac{5}{6}$, multiply numerator and denominator by $\frac{12}{6} = 2$: $$\frac{5}{6} = \frac{5 \times 2}{6 \times 2} = \frac{10}{12}$$ - For $\frac{3}{4}$, multiply numerator and denominator by $\frac{12}{4} = 3$: $$\frac{3}{4} = \frac{3 \times 3}{4 \times 3} = \frac{9}{12}$$ 5. The equivalent fractions with the least common denominator 12 are: $$\frac{10}{12} \text{ and } \frac{9}{12}$$ These fractions have the same denominators and are equivalent to the original fractions.