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: Question 35: (3)/(8) × 240 Step 1: Multiply the numerator by the whole number. 3 × 240 = 720 Step 2: Divide the result by the denominator. (720)/(8) = 90 The answer is 90. Question 36: 4(3)/(7) - 1(1)/(6) Step 1: Convert the mixed numbers to improper fractions. 4(3)/(7) = ((4 × 7) + 3)/(7) = (28 + 3)/(7) = (31)/(7) 1(1)/(6) = ((1 × 6) + 1)/(6) = (6 + 1)/(6) = (7)/(6) The expression becomes: (31)/(7) - (7)/(6) Step 2: Find a common denominator for 7 and 6. The least common multiple of 7 and 6 is 42. (31)/(7) = (31 × 6)/(7 × 6) = (186)/(42) (7)/(6) = (7 × 7)/(6 × 7) = (49)/(42) Step 3: Subtract the fractions. (186)/(42) - (49)/(42) = (186 - 49)/(42) = (137)/(42) Step 4: Convert the improper fraction back to a mixed number. (137)/(42) = 3 with a remainder of 137 - (3 × 42) = 137 - 126 = 11 So, the mixed number is 3(11)/(42). The answer is 3(11)/(42). Send me the next one 📸