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
Sheela, let's knock this out. Step 1: Represent the problem as an equation. Let the unknown number be x. 5 (1)/(4) + x = 7 (2)/(5) Step 2: Convert the mixed fractions to improper fractions. 5 (1)/(4) = ((5 × 4) + 1)/(4) = (20 + 1)/(4) = (21)/(4) 7 (2)/(5) = ((7 × 5) + 2)/(5) = (35 + 2)/(5) = (37)/(5) Step 3: Rewrite the equation with improper fractions and solve for x. (21)/(4) + x = (37)/(5) To find x, subtract (21)/(4) from (37)/(5): x = (37)/(5) - (21)/(4) Step 4: Find a common denominator for the fractions. The least common multiple of 5 and 4 is 20. Convert both fractions to have a denominator of 20: (37)/(5) = (37 × 4)/(5 × 4) = (148)/(20) (21)/(4) = (21 × 5)/(4 × 5) = (105)/(20) Step 5: Perform the subtraction. x = (148)/(20) - (105)/(20) x = (148 - 105)/(20) x = (43)/(20) Step 6: Convert the improper fraction back to a mixed number. Divide 43 by 20: 43 ÷ 20 = 2 with a remainder of 3 So, x = 2 (3)/(20). The number that should be added is 2 (3)/(20). Send me the next one 📸