Question

Using the distributive property simplify the expression$12\left(\frac{2}{3}b+\frac{5}{6}\right)$

Short answer

The simplified form of expression$12\left(\frac{2}{3}b+\frac{5}{6}\right)is8b+10.$

Step-by-step solution

. Given information

Given expression in the form is $12\left(\frac{2}{3}b+\frac{5}{6}\right)$.

Simplify the expression using distributive property.

. Description of distributive property

Distributive property : If are real numbers ,then

$$\begin{gathered} a(b+c)=ab+ac \\ a(b-c)=ab-ac \end{gathered}$$

. Simplification of the expression 

Applying the distributive property ,the expression becomes$$\begin{gathered} 12\left(\frac{2}{3}b+\frac{5}{6}\right)=12\times \frac{2}{3}b+12\times \frac{5}{6} \\ =4\times 2b+2\times 5 \\ =8b+10 \end{gathered}$$