Solve (3(+1/2)+1)(2(+1/2)+5)

$$( 3 ( + \frac { 1 } { 2 } ) + 1 ) ( 2 ( + \frac { 1 } { 2 } ) + 5 )$$

Evaluate

$$15$$

Solution Steps

Multiply 3 and \frac{1}{2} to get \frac{3}{2}.

$$\left(\frac{3}{2}+1\right)\left(2\times \frac{1}{2}+5\right)$$

Convert 1 to fraction \frac{2}{2}.

$$\left(\frac{3}{2}+\frac{2}{2}\right)\left(2\times \frac{1}{2}+5\right)$$

Since \frac{3}{2} and \frac{2}{2} have the same denominator, add them by adding their numerators.

$$\frac{3+2}{2}\left(2\times \frac{1}{2}+5\right)$$

Add 3 and 2 to get 5.

$$\frac{5}{2}\left(2\times \frac{1}{2}+5\right)$$

Cancel out 2 and 2.

$$\frac{5}{2}\left(1+5\right)$$

Add 1 and 5 to get 6.

$$\frac{5}{2}\times 6$$

Express \frac{5}{2}\times 6 as a single fraction.

$$\frac{5\times 6}{2}$$

Multiply 5 and 6 to get 30.

$$\frac{30}{2}$$

Divide 30 by 2 to get 15.

$$15$$

Factor

$$3\times 5$$