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.

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Answer
12
Here are the solutions to the questions:
Question 1: In the above working, which number is called the divisor? (This refers to the long division problem from a previous context: with a remainder of )
Step 1: Understand the terms in a division problem. In a division with remainder , is the dividend, is the divisor, is the quotient, and is the remainder.
Step 2: Identify the divisor from the given context. The number that divides the dividend () is . The divisor is .
Question 2: What is the value of ?
Step 1: Find the least common multiple (LCM) of the denominators, and . Multiples of : Multiples of : The LCM of and is .
Step 2: Convert the fractions to equivalent fractions with a common denominator of . For : For :
Step 3: Subtract the equivalent fractions. The value is .
Question 3: Find the least common multiple of 18 and 24.
Step 1: List the multiples of . Multiples of :
Step 2: List the multiples of . Multiples of :
Step 3: Identify the smallest common multiple from both lists. The least common multiple (LCM) of and is . The least common multiple of and is .
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Question 1: In the above working, which number is called the divisor? (This refers to the long division problem from a previous context: 259 ÷ 12 = 21 with a remainder of 7) Step 1: Understand the terms in a division problem.
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.