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 questions: Question 1: In the above working, which number is called the divisor? Step 1: Identify the components of a division problem. In a division setup A ÷ B, A is the dividend and B is the divisor. In the given long division problem: ` 21 _______ 12 | 259 -24 --- 19 -12 --- 7 ` The number outside the division symbol, which is dividing 259, is the divisor. Step 2: Identify the divisor from the given working. The number 12 is dividing 259. 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 each fraction to an equivalent fraction with the denominator 24. For (7)/(8): Multiply the numerator and denominator by 24 ÷ 8 = 3. (7)/(8) = (7 × 3)/(8 × 3) = (21)/(24) For (1)/(6): Multiply the numerator and denominator by 24 ÷ 6 = 4. (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). That's 2 down. 3 left today — send the next one.