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 (5)/(18). So, a × b = (5)/(18) Step 2: We are given one of the rational numbers as (-3)/(20). Let a = (-3)/(20). Substitute this value into the equation: (-3)/(20) × b = (5)/(18) Step 3: To find the second rational number b, divide the product by the given rational number. b = (5)/(18) ÷ ((-3)/(20)) To divide by a fraction, multiply by its reciprocal: b = (5)/(18) × (20)/(-3) Step 4: Multiply the numerators and the denominators. b = (5 × 20)/(18 × (-3)) b = (100)/(-54) Step 5: Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 2. b = (100 ÷ 2)/(-54 ÷ 2) b = (50)/(-27) The negative sign can be written in the numerator or in front of the fraction. b = -(50)/(27) The second rational number is -(50)/(27). Send me the next one 📸