Solve 3(3/2)-1/frac{3{2}+2}=

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

Evaluate

$$1$$

Solution Steps

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

$$\frac{\frac{3\times 3}{2}-1}{\frac{3}{2}+2}$$

Multiply 3 and 3 to get 9.

$$\frac{\frac{9}{2}-1}{\frac{3}{2}+2}$$

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

$$\frac{\frac{9}{2}-\frac{2}{2}}{\frac{3}{2}+2}$$

Since \frac{9}{2} and \frac{2}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{9-2}{2}}{\frac{3}{2}+2}$$

Subtract 2 from 9 to get 7.

$$\frac{\frac{7}{2}}{\frac{3}{2}+2}$$

Convert 2 to fraction \frac{4}{2}.

$$\frac{\frac{7}{2}}{\frac{3}{2}+\frac{4}{2}}$$

Since \frac{3}{2} and \frac{4}{2} have the same denominator, add them by adding their numerators.

$$\frac{\frac{7}{2}}{\frac{3+4}{2}}$$

Add 3 and 4 to get 7.

$$\frac{\frac{7}{2}}{\frac{7}{2}}$$

Divide \frac{7}{2} by \frac{7}{2} to get 1.

$$1$$

Factor

$$1$$