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: Evaluate the numerator. 2.4 × 1.68 × 0.3 = 4.032 × 0.3 = 1.2096 Step 2: Evaluate the denominator. 0.32 × 0.9 × 6 = 0.288 × 6 = 1.728 Step 3: Divide the numerator by the denominator. (1.2096)/(1.728) To simplify the division, multiply both numerator and denominator by 10000 to remove decimals: (12096)/(17280) Step 4: Simplify the fraction. (12096)/(17280) = (12096 ÷ 1728)/(17280 ÷ 1728) = (7)/(10) As a decimal: (7)/(10) = 0.7 The final answer is 0.7. b) Evaluate 3(1)/(2) + (3(1)/(4) of 2(2)/(3)) + 1(1)/(8) Step 1: Convert all mixed numbers to improper fractions. 3(1)/(2) = ((3 × 2) + 1)/(2) = (7)/(2) 3(1)/(4) = ((3 × 4) + 1)/(4) = (13)/(4) 2(2)/(3) = ((2 × 3) + 2)/(3) = (8)/(3) 1(1)/(8) = ((1 × 8) + 1)/(8) = (9)/(8) Step 2: Solve the "of" part, which means multiplication. 3(1)/(4) of 2(2)/(3) = (13)/(4) × (8)/(3) = (13 × 8)/(4 × 3) =