Apply the distributive property. Simplify when possible. $\frac{1}{6}(5 x-18)$
A) $\frac{6}{5} x-5$
B) $\frac{5}{6} x-3$
C) $\frac{5}{6} x-18$
D) $\frac{6}{5} x-3$
E) $\frac{5}{6} x-5$

Question

Quizplus · Accepted Answer

To apply the distributive property, we multiply the fraction $\frac{1}{6}$ by each term inside the parentheses: $$\frac{1}{6}(5x-18) = \frac{1}{6}(5x) - \frac{1}{6}(18) = \frac{5}{6}x - 3$$ The best choice is B, which matches this simplified expression.

Apply the Distributive Property 16(5x−18)\frac{1}{6}(5 x-18)61​(5x−18) A) 65x−5\frac{6}{5} x-556​x−5 B) 56x−3\frac{5}{6} x-365​x−3 C) 56x−18\frac{5}{6} x-1865​x−18

Apply the Distributive Property $\frac{1}{6}(5 x-18)$ A) $\frac{6}{5} x-5$ B) $\frac{5}{6} x-3$ C) $\frac{5}{6} x-18$