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: Problem 1: Convert 3(2)/(7) into an improper fraction. Step 1: Multiply the whole number by the denominator. 3 × 7 = 21 Step 2: Add the numerator to the result. 21 + 2 = 23 Step 3: Place this sum over the original denominator. (23)/(7) The improper fraction is (23)/(7). Problem 2: There are 600 apples in a basket. If (1)/(4) of them are rotten, how many apples are good? Step 1: Calculate the number of rotten apples. Rotten apples = (1)/(4) × 600 = 150 Step 2: Subtract the number of rotten apples from the total to find the number of good apples. Good apples = 600 - 150 = 450 There are 450 good apples. Problem 3: Subtract: 12(4)/(7) - 9(1)/(7) Step 1: Subtract the whole number parts. 12 - 9 = 3 Step 2: Subtract the fractional parts. (4)/(7) - (1)/(7) = (4-1)/(7) = (3)/(7) Step 3: Combine the whole number and fractional parts. 3 + (3)/(7) = 3(3)/(7) The result is 3(3)/(7). Problem 4: Simplify: 49 + 64 ÷ 8 × 3 - 10 Step 1: Perform division. 49 + (64 ÷ 8) × 3 - 10 49 + 8 × 3 - 10 Step 2: Perform multiplication. 49 + (8 × 3) - 10 49 + 24 - 10 Step 3: Perform addition from left to right. (49 + 24) - 10 73 - 10 Step 4: Perform subtraction. 63 The simplified value is 63.