Solve 7/2+3/6-6/2/frac{3{2}}

$$\frac{ 7 }{ 2 } + \frac{ 3 }{ 6 } - \frac{ \frac{ 6 }{ 2 } }{ \frac{ 3 }{ 2 } }$$

Evaluate

$$2$$

Solution Steps

Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.

$$\frac{7}{2}+\frac{1}{2}-\frac{\frac{6}{2}}{\frac{3}{2}}$$

Since \frac{7}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$\frac{7+1}{2}-\frac{\frac{6}{2}}{\frac{3}{2}}$$

Add 7 and 1 to get 8.

$$\frac{8}{2}-\frac{\frac{6}{2}}{\frac{3}{2}}$$

Divide 8 by 2 to get 4.

$$4-\frac{\frac{6}{2}}{\frac{3}{2}}$$

Divide \frac{6}{2} by \frac{3}{2} by multiplying \frac{6}{2} by the reciprocal of \frac{3}{2}.

$$4-\frac{6\times 2}{2\times 3}$$

Cancel out 2\times 3 in both numerator and denominator.

$$4-2$$

Subtract 2 from 4 to get 2.

$$2$$

Factor

$$2$$