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: Determine the fraction of substance G in the solution. Given that substance G makes up (2)/(3) of the solution. Step 2: Determine the fraction of substance F in the solution. The rest of the solution is substance F. So, Fraction of F = 1 - Fraction of G Fraction of F = 1 - (2)/(3) Fraction of F = (3)/(3) - (2)/(3) Fraction of F = (1)/(3) Step 3: Express substance G as a fraction of substance F. This means we need to find the ratio Fraction of GFraction of F. Fraction of GFraction of F = (2)/(3)(1)/(3) To simplify, multiply the numerator by the reciprocal of the denominator: (2)/(3)(1)/(3) = (2)/(3) × (3)/(1) (2)/(3)(1)/(3) = (2 × 3)/(3 × 1) (2)/(3)(1)/(3) = (6)/(3) (2)/(3)(1)/(3) = 2 So, substance G is 2 times substance F. As a fraction, this can be written as (2)/(1). The final answer is (2)/(1)