Question

Simplify expression$18\times \frac{5}{6}\left(2x-5\right)$using the distributive property

Short answer

The simplified form the given expression is$30x-75$

Step-by-step solution

Given information

Given expression in the form $18\times \frac{5}{6}\left(2x-5\right)$.

To simplify the expression using distributive property

Step2:Decription of distributive property

Distributive property:

If a, b ,c are real numbers then$$\begin{gathered} a(b+c)=ab+ac \\ a(b-c)=ab-ac \end{gathered}$$

Step 3:Simplification of the expression using distributive property

Given expression is $18\times \frac{5}{6}(2x-5)$

First simplify $18\times \frac{5}{6}$and then apply distributive property,

$$\begin{gathered} 15\left(2x-5\right)=15\times 2x-15\times 5 \\ =30x-75 \end{gathered}$$sincelocalid="1644429013176" role="math" $$\begin{gathered} 18\times \frac{5}{6}=3\times 5 \\ =15 \end{gathered}$$