Which of the following pairs consists of equivalent fractions? \( \frac{10}{18} \) and \( \frac{15}{27} \) \( \frac{3}{15} \) and \( \frac{3}{45} \) \( \frac{2}{7} \) and \( \frac{3}{8} \) \( \frac{8}{9} \) and \( \frac{9}{8} \)

1. For the pair \( \frac{10}{18} \) and \( \frac{15}{27} \): - Simplify \( \frac{10}{18} \). Both numerator and denominator can be divided by 2: \[ \frac{10 \div 2}{18 \div 2} = \frac{5}{9} \] - Simplify \( \frac{15}{27} \). Both numerator and denominator can be divided by 3: \[ \frac{15 \div 3}{27 \div 3} = \frac{5}{9} \] - Since both fractions simplify to \( \frac{5}{9} \), they are equivalent. 2. For the pair \( \frac{3}{15} \) and \( \frac{3}{45} \): - Simplify \( \frac{3}{15} \) by dividing numerator and denominator by 3: \[ \frac{3 \div 3}{15 \div 3} = \frac{1}{5} \] - Simplify \( \frac{3}{45} \) by dividing numerator and denominator by 3: \[ \frac{3 \div 3}{45 \div 3} = \frac{1}{15} \] - Since \( \frac{1}{5} \neq \frac{1}{15} \), these fractions are not equivalent. 3. For the pair \( \frac{2}{7} \) and \( \frac{3}{8} \): - Cross-multiply to check equivalence: \[ 2 \times 8 = 16 \quad \text{and} \quad 7 \times 3 = 21 \] - Since \( 16 \neq 21 \), these fractions are not equivalent. 4. For the pair \( \frac{8}{9} \) and \( \frac{9}{8} \): - These fractions are reciprocals of each other. Since \( \frac{8}{9} \neq \frac{9}{8} \), they are not equivalent. Thus, the only pair that consists of equivalent fractions is: \[ \frac{10}{18} \text{ and } \frac{15}{27}. \]