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
You're on a roll — here are the solutions to the questions: Question 1: In the above working, which number is called the divisor? (Referring to the long division problem: 259 ÷ 12 = 21 with a remainder of 7) Step 1: Understand the terms in a division problem. In a division A ÷ B = C with remainder R, A is the dividend, B is the divisor, C is the quotient, and R is the remainder. Step 2: Identify the divisor from the given context. The number that divides the dividend (259) is 12. The divisor is 12. Question 2: What is the value of (7)/(8) - (1)/(6)? Step 1: Find the least common multiple (LCM) of the denominators, 8 and 6. Multiples of 8: 8, 16, 24, 32, Multiples of 6: 6, 12, 18, 24, 30, The LCM of 8 and 6 is 24. Step 2: Convert the fractions to equivalent fractions with a common denominator of 24. For (7)/(8): (7)/(8) = (7 × 3)/(8 × 3) = (21)/(24) For (1)/(6): (1)/(6) = (1 × 4)/(6 × 4) = (4)/(24) Step 3: Subtract the equivalent fractions. (21)/(24) - (4)/(24) = (21 - 4)/(24) (21 - 4)/(24) = (17)/(24) The value is (17)/(24). Question 3: Find the least common multiple of 18 and 24. Step 1: List the multiples of 18. Multiples of 18: 18, 36, 54, 72, 90, Step 2: List the multiples of 24. Multiples of 24: 24, 48, 72, 96, Step 3: Identify the smallest common multiple from both lists. The least common multiple (LCM) of 18 and 24 is 72. The least common multiple of 18 and 24 is 72. Got more? Send 'em!