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 the mixed numbers to improper fractions. To convert a mixed number a(b)/(c) to an improper fraction, use the formula ((a × c) + b)/(c). For 7(1)/(8): 7(1)/(8) = ((7 × 8) + 1)/(8) = (56 + 1)/(8) = (57)/(8) For 5(4)/(8): 5(4)/(8) = ((5 × 8) + 4)/(8) = (40 + 4)/(8) = (44)/(8) Step 2: Subtract the improper fractions. Now the problem is (57)/(8) - (44)/(8). Since the denominators are the same, subtract the numerators. (57)/(8) - (44)/(8) = (57 - 44)/(8) = (13)/(8) Step 3: Convert the improper fraction back to a mixed number. To convert (13)/(8) to a mixed number, divide the numerator by the denominator. 13 ÷ 8 = 1 with a remainder of 13 - (1 × 8) = 13 - 8 = 5. The quotient (1) is the whole number part, and the remainder (5) is the new numerator over the original denominator (8). (13)/(8) = 1(5)/(8) The final answer is 1(5)/(8).