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 quantities of maize harvested in each season. The farmer harvested 3(1)/(2) bags in one season and 2(3)/(4) bags in another season. Step 2: Convert the mixed numbers to improper fractions. 3(1)/(2) = ((3 × 2) + 1)/(2) = (6 + 1)/(2) = (7)/(2) 2(3)/(4) = ((2 × 4) + 3)/(4) = (8 + 3)/(4) = (11)/(4) Step 3: Add the improper fractions to find the total harvest. To add fractions, they must have a common denominator. The least common multiple of 2 and 4 is 4. Convert (7)/(2) to an equivalent fraction with a denominator of 4: (7)/(2) = (7 × 2)/(2 × 2) = (14)/(4) Now, add the fractions: (14)/(4) + (11)/(4) = (14 + 11)/(4) = (25)/(4) Step 4: Convert the improper fraction back to a mixed number. Divide 25 by 4: 25 ÷ 4 = 6 with a remainder of 1 So, (25)/(4) can be written as 6(1)/(4). The farmer harvested 6(1)/(4) bags of maize altogether. The total number of bags harvested altogether is 6(1)/(4) bags. Send me the next one 📸