Simplify the following fraction to lowest terms.
$\left(B\right)\frac{288}{24}$

• A. $\frac{144}{24}$
• B. $14$
• C. $18$
• D. $12$

Answer: (D)

Verified step by step guidance

1. Identify the fraction to be simplified, which is \(\left(B\right)\frac{288}{24}\). Here, \(B\) is a variable multiplied by the fraction \(\frac{288}{24}\).
2. Simplify the numerical fraction \(\frac{288}{24}\) by dividing the numerator and denominator by their greatest common divisor (GCD).
3. Calculate the GCD of 288 and 24, then divide both numerator and denominator by this GCD to reduce the fraction to its lowest terms.
4. After simplifying the fraction, multiply the result by the variable \(B\) to express the simplified product.
5. Express the final simplified expression as \(B\) times the simplified fraction, which will be the fraction in its lowest terms multiplied by \(B\).