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: Convert all mixed numbers to improper fractions. 1(3)/(4) = (1 × 4 + 3)/(4) = (7)/(4) 1(2)/(9) = (1 × 9 + 2)/(9) = (11)/(9) 1(4)/(37) = (1 × 37 + 4)/(37) = (41)/(37) Step 2: Substitute the improper fractions back into the expression. (7)/(4) × (11)/(9) ÷ (41)/(37) Step 3: Perform the multiplication first. (7)/(4) × (11)/(9) = (7 × 11)/(4 × 9) = (77)/(36) Step 4: Perform the division. To divide by a fraction, multiply by its reciprocal. (77)/(36) ÷ (41)/(37) = (77)/(36) × (37)/(41) Step 5: Multiply the numerators and denominators. (77 × 37)/(36 × 41) = (2849)/(1476) The result is an improper fraction. We can convert it to a mixed number if desired, but the improper fraction is also a valid answer. To convert to a mixed number: 2849 ÷ 1476 = 1 with a remainder of 2849 - 1476 = 1373. So, 1(1373)/(1476). (2849)/(1476)