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 amount of flour used. Bongie used (1)/(2) cup of flour. Step 2: Calculate the total amount of sugar and butter combined. Amount of sugar = (3)/(4) cup Amount of butter = (1)/(3) cup Total amount of sugar and butter = (3)/(4) + (1)/(3) To add these fractions, find a common denominator, which is 12. (3)/(4) = (3 × 3)/(4 × 3) = (9)/(12) (1)/(3) = (1 × 4)/(3 × 4) = (4)/(12) Now, add the fractions: (9)/(12) + (4)/(12) = (9+4)/(12) = (13)/(12) cups Step 3: Compare the amount of flour to the total amount of sugar and butter combined. This comparison is expressed as a ratio: Amount of flourTotal amount of sugar and butter. (1)/(2)(13)/(12) To simplify this complex fraction, multiply the numerator by the reciprocal of the denominator: (1)/(2) × (12)/(13) = (1 × 12)/(2 × 13) = (12)/(26) Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 2: (12 ÷ 2)/(26 ÷ 2) = (6)/(13) Bongie used (6)/(13) as much flour compared to the total amount of sugar and butter combined. The final answer is (6)/(13).