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
Step 1: Identify the fractions in the expression. The expression is a subtraction of two fractions: (2)/(3) - (3)/(2). Step 2: Find a common denominator for the fractions. The denominators are 3 and 2. The least common multiple (LCM) of 3 and 2 is 6. Step 3: Convert each fraction to an equivalent fraction with the common denominator. For the first fraction, (2)/(3): Multiply the numerator and denominator by 2: (2)/(3) = (2 × 2)/(3 × 2) = (4)/(6) For the second fraction, (3)/(2): Multiply the numerator and denominator by 3: (3)/(2) = (3 × 3)/(2 × 3) = (9)/(6) Step 4: Perform the subtraction with the equivalent fractions. (4)/(6) - (9)/(6) Step 5: Subtract the numerators and keep the common denominator. (4 - 9)/(6) = (-5)/(6) The final answer is -(5)/(6).