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
Here are the solutions to the problems: 1. 6(2)/(5) = 1(3)/(5) Step 1: Convert both mixed numbers to improper fractions. 6(2)/(5) = ((6 × 5) + 2)/(5) = (30 + 2)/(5) = (32)/(5) 1(3)/(5) = ((1 × 5) + 3)/(5) = (5 + 3)/(5) = (8)/(5) Step 2: Compare the improper fractions. (32)/(5) and (8)/(5) Since 32 ≠ 8, then (32)/(5) ≠ (8)/(5). Step 3: Conclude whether the statement is true or false. The statement 6(2)/(5) = 1(3)/(5) is False. 2. 5(3)/(4) - 2(1)/(4) Step 1: Subtract the whole number parts. 5 - 2 = 3 Step 2: Subtract the fractional parts. The denominators are already the same. (3)/(4) - (1)/(4) = (3-1)/(4) = (2)/(4) Step 3: Simplify the fractional part. (2)/(4) = (1)/(2) Step 4: Combine the whole number and the simplified fraction. 3 + (1)/(2) = 3(1)/(2) The difference is 3(1)/(2). That's 2 down. 3 left today — send the next one.