Solve 3/2+1/3(frac{8{2})+3}

$$\frac { \frac { 3 } { 2 } + 1 } { 3 ( \frac { 8 } { 2 } ) + 3 }$$

Evaluate

$$\frac{1}{6}\approx 0.166666667$$

Solution Steps

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

$$\frac{\frac{3}{2}+\frac{2}{2}}{3\times \frac{8}{2}+3}$$

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

$$\frac{\frac{3+2}{2}}{3\times \frac{8}{2}+3}$$

Add 3 and 2 to get 5.

$$\frac{\frac{5}{2}}{3\times \frac{8}{2}+3}$$

Divide 8 by 2 to get 4.

$$\frac{\frac{5}{2}}{3\times 4+3}$$

Multiply 3 and 4 to get 12.

$$\frac{\frac{5}{2}}{12+3}$$

Add 12 and 3 to get 15.

$$\frac{\frac{5}{2}}{15}$$

Express \frac{\frac{5}{2}}{15} as a single fraction.

$$\frac{5}{2\times 15}$$

Multiply 2 and 15 to get 30.

$$\frac{5}{30}$$

Reduce the fraction \frac{5}{30} to lowest terms by extracting and canceling out 5.

$$\frac{1}{6}$$

Factor

$$\frac{1}{2 \cdot 3} = 0.16666666666666666$$