Simplify The Expression: $\frac{4a - 4b}{8}$

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**Simplify the Expression: $\frac{4a - 4b}{8}$** =====================================================

What is the Simplified Form of the Expression?

The given expression is 4a−4b8\frac{4a - 4b}{8}. To simplify this expression, we need to find the greatest common factor (GCF) of the numerator and the denominator.

Step 1: Find the Greatest Common Factor (GCF)

The GCF of 4a4a and 4b4b is 44, and the GCF of 88 is 88. Therefore, the GCF of the numerator and the denominator is 44.

Step 2: Simplify the Expression

To simplify the expression, we divide both the numerator and the denominator by the GCF, which is 44.

4a−4b8=4(a−b)8\frac{4a - 4b}{8} = \frac{4(a - b)}{8}

Step 3: Further Simplify the Expression

We can further simplify the expression by dividing both the numerator and the denominator by 44.

4(a−b)8=a−b2\frac{4(a - b)}{8} = \frac{a - b}{2}

Q: What is the Simplified Form of the Expression?

A: The simplified form of the expression is a−b2\frac{a - b}{2}.

Q: How Do I Simplify the Expression?

A: To simplify the expression, you need to find the greatest common factor (GCF) of the numerator and the denominator, and then divide both the numerator and the denominator by the GCF.

Q: What is the Greatest Common Factor (GCF)?

A: The greatest common factor (GCF) is the largest number that divides both the numerator and the denominator without leaving a remainder.

Q: How Do I Find the Greatest Common Factor (GCF)?

A: To find the greatest common factor (GCF), you need to list the factors of the numerator and the denominator, and then find the largest number that is common to both lists.

Q: What is the Difference Between the Greatest Common Factor (GCF) and the Least Common Multiple (LCM)?

A: The greatest common factor (GCF) is the largest number that divides both the numerator and the denominator without leaving a remainder, while the least common multiple (LCM) is the smallest number that is a multiple of both the numerator and the denominator.

Q: How Do I Use the Greatest Common Factor (GCF) to Simplify the Expression?

A: To use the greatest common factor (GCF) to simplify the expression, you need to divide both the numerator and the denominator by the GCF.

Q: What is the Final Answer?

A: The final answer is a−b2\boxed{\frac{a - b}{2}}.

Conclusion

In this article, we simplified the expression 4a−4b8\frac{4a - 4b}{8} by finding the greatest common factor (GCF) of the numerator and the denominator, and then dividing both the numerator and the denominator by the GCF. We also answered some frequently asked questions about simplifying expressions and the greatest common factor (GCF).