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 total length of the road and the fraction to be resurfaced. The total length of the road is 2(3)/(5) km. The fraction of the road to be resurfaced is (3)/(5). Step 2: Convert the mixed number to an improper fraction. 2(3)/(5) = ((2 × 5) + 3)/(5) = (10 + 3)/(5) = (13)/(5) Step 3: Calculate the length to be resurfaced by multiplying the total length by the fraction. Length to be resurfaced = (Fraction to be resurfaced) × (Total length) Length = (3)/(5) × (13)/(5) km Step 4: Multiply the fractions. Length = (3 × 13)/(5 × 5) km Length = (39)/(25) km Step 5: Convert the improper fraction to a mixed number. (39)/(25) = 1(14)/(25) km The length of the road to be resurfaced is 1(14)/(25) km. Send me the next one 📸