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: Find the sum of 2(1)/(4) and (3)/(4). First, convert the mixed number to an improper fraction: 2(1)/(4) = ((2 × 4) + 1)/(4) = (8 + 1)/(4) = (9)/(4) Now, add the fractions: (9)/(4) + (3)/(4) = (9 + 3)/(4) = (12)/(4) Simplify the sum: (12)/(4) = 3 Step 2: Convert 1(1)/(8) to an improper fraction. 1(1)/(8) = ((1 × 8) + 1)/(8) = (8 + 1)/(8) = (9)/(8) Step 3: Subtract the result from Step 2 from the result of Step 1. We need to calculate 3 - (9)/(8). To subtract, find a common denominator. The number 3 can be written as (3)/(1). The least common multiple of 1 and 8 is 8. Convert 3 to an equivalent fraction with a denominator of 8: 3 = (3 × 8)/(1 × 8) = (24)/(8) Now perform the subtraction: (24)/(8) - (9)/(8) = (24 - 9)/(8) = (15)/(8) Step 4: Convert the improper fraction to a mixed number. Divide 15 by 8: 15 ÷ 8 = 1 with a remainder of 7 So, the mixed number is 1(7)/(8). The final answer is 1(7)/(8).