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: Let the two rational numbers be a and b. We are given that the product of two rational numbers is (3)/(2). So, a × b = (3)/(2) Step 2: We are given one of the rational numbers as (-3)/(10). Let a = (-3)/(10). Substitute this value into the equation: (-3)/(10) × b = (3)/(2) Step 3: To find the second rational number b, divide the product by the given rational number. b = (3)/(2) ÷ ((-3)/(10)) To divide by a fraction, multiply by its reciprocal: b = (3)/(2) × (10)/(-3) Step 4: Multiply the numerators and the denominators. b = (3 × 10)/(2 × (-3)) b = (30)/(-6) Step 5: Simplify the fraction. b = -5 The second rational number is -5. 3 done, 2 left today. You're making progress.