Solve (2a+3)(3/2)+5

$$( 2 a + 3 ) ( \frac { 3 } { 2 } ) + 5$$

Evaluate

$$3a+\frac{19}{2}$$

Solution Steps

Use the distributive property to multiply 2a+3 by \frac{3}{2}.

$$2a\times \frac{3}{2}+3\times \frac{3}{2}+5$$

Cancel out 2 and 2.

$$3a+3\times \frac{3}{2}+5$$

Express 3\times \frac{3}{2} as a single fraction.

$$3a+\frac{3\times 3}{2}+5$$

Multiply 3 and 3 to get 9.

$$3a+\frac{9}{2}+5$$

Convert 5 to fraction \frac{10}{2}.

$$3a+\frac{9}{2}+\frac{10}{2}$$

Since \frac{9}{2} and \frac{10}{2} have the same denominator, add them by adding their numerators.

$$3a+\frac{9+10}{2}$$

Add 9 and 10 to get 19.

$$3a+\frac{19}{2}$$

Expand

$$3a+\frac{19}{2}$$

Solution Steps

Use the distributive property to multiply 2a+3 by \frac{3}{2}.

$$2a\times \frac{3}{2}+3\times \frac{3}{2}+5$$

Cancel out 2 and 2.

$$3a+3\times \frac{3}{2}+5$$

Express 3\times \frac{3}{2} as a single fraction.

$$3a+\frac{3\times 3}{2}+5$$

Multiply 3 and 3 to get 9.

$$3a+\frac{9}{2}+5$$

Convert 5 to fraction \frac{10}{2}.

$$3a+\frac{9}{2}+\frac{10}{2}$$

Since \frac{9}{2} and \frac{10}{2} have the same denominator, add them by adding their numerators.

$$3a+\frac{9+10}{2}$$

Add 9 and 10 to get 19.

$$3a+\frac{19}{2}$$