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

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

Evaluate

$$\frac{5}{18}\approx 0.277777778$$

Solution Steps

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

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

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

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

Add 3 and 2 to get 5.

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

Multiply 3 and 2 to get 6.

$$\frac{\frac{5}{2}}{6+3}$$

Add 6 and 3 to get 9.

$$\frac{\frac{5}{2}}{9}$$

Express \frac{\frac{5}{2}}{9} as a single fraction.

$$\frac{5}{2\times 9}$$

Multiply 2 and 9 to get 18.

$$\frac{5}{18}$$

Factor

$$\frac{5}{2 \cdot 3 ^ {2}} = 0.2777777777777778$$