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: Let the two rational numbers be a and b. We are given that the product of two rational numbers is (-13)/(33). So, a × b = (-13)/(33) Step 2: We are given one of the rational numbers as (-7)/(11). Let a = (-7)/(11). Substitute this value into the equation: (-7)/(11) × b = (-13)/(33) Step 3: To find the second rational number b, divide the product by the given rational number. b = (-13)/(33) ÷ ((-7)/(11)) To divide by a fraction, multiply by its reciprocal: b = (-13)/(33) × (11)/(-7) Step 4: Multiply the numerators and the denominators. b = (-13 × 11)/(33 × (-7)) Simplify by canceling out common factors. Here, 11 is a common factor for 11 in the numerator and 33 in the denominator (33 = 3 × 11). b = -13 × 11(3 × 11) × (-7) b = (-13)/(3 × (-7)) b = (-13)/(-21) Step 5: Simplify the fraction. When both the numerator and the denominator are negative, the fraction is positive. b = (13)/(21) The second rational number is (13)/(21). What's next?