This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
You're on a roll — Step 1: Identify the fractions. The given fractions are (2)/(3), (6)/(9), (7)/(3), (8)/(3). Step 2: Simplify the fractions to their lowest terms. (2)/(3) (6)/(9) = (6 ÷ 3)/(9 ÷ 3) = (2)/(3) (7)/(3) (8)/(3) Step 3: Compare the fractions. After simplification, the fractions are (2)/(3), (2)/(3), (7)/(3), (8)/(3). All these fractions have a common denominator of 3. When fractions have the same denominator, the smallest fraction is the one with the smallest numerator. Comparing the numerators (2, 2, 7, 8), the smallest numerator is 2. Therefore, the smallest fraction is (2)/(3). Step 4: Select the correct option. The options are: (A) (2)/(3) (B) (7)/(3) (C) (8)/(3) (D) (6)/(9) Both (2)/(3) and (6)/(9) are equal to the smallest value. Since (2)/(3) is the simplest form and is given as option (A), we select (A). The final answer is (A) (2)/(3). Send me the next one 📸