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: Write down the given distances. Distance by bus = 40 (3)/(4) km Distance by motorcycle = 5 (1)/(2) km Total journey distance = 47 (3)/(4) km Step 2: Convert all mixed numbers to improper fractions. 40 (3)/(4) = ((40 × 4) + 3)/(4) = (160 + 3)/(4) = (163)/(4) 5 (1)/(2) = ((5 × 2) + 1)/(2) = (10 + 1)/(2) = (11)/(2) 47 (3)/(4) = ((47 × 4) + 3)/(4) = (188 + 3)/(4) = (191)/(4) Step 3: Calculate the total distance covered by bus and motorcycle. To add (163)/(4) and (11)/(2), find a common denominator, which is 4. (11)/(2) = (11 × 2)/(2 × 2) = (22)/(4) Distance by bus and motorcycle = (163)/(4) + (22)/(4) = (163 + 22)/(4) = (185)/(4) km Step 4: Subtract the combined distance from the total journey distance to find the distance walked. Distance walked = Total journey distance - Distance by bus and motorcycle = (191)/(4) - (185)/(4) = (191 - 185)/(4) = (6)/(4) Step 5: Simplify the fraction and convert it back to a mixed number. (6)/(4) = (3)/(2) = 1 (1)/(2) km The distance Maya walked was 1 (1)/(2) km$. Send me the next one 📸