Solve {[(3-1)*7]-1/2}:1/2

$$\{ [ ( 3 - 1 ) \cdot 7 ] - \frac { 1 } { 2 } \} : \frac { 1 } { 2 }$$

Evaluate

$$27$$

Solution Steps

Subtract 1 from 3 to get 2.

$$\frac{2\times 7-\frac{1}{2}}{\frac{1}{2}}$$

Multiply 2 and 7 to get 14.

$$\frac{14-\frac{1}{2}}{\frac{1}{2}}$$

Convert 14 to fraction \frac{28}{2}.

$$\frac{\frac{28}{2}-\frac{1}{2}}{\frac{1}{2}}$$

Since \frac{28}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{28-1}{2}}{\frac{1}{2}}$$

Subtract 1 from 28 to get 27.

$$\frac{\frac{27}{2}}{\frac{1}{2}}$$

Divide \frac{27}{2} by \frac{1}{2} by multiplying \frac{27}{2} by the reciprocal of \frac{1}{2}.

$$\frac{27}{2}\times 2$$

Cancel out 2 and 2.

$$27$$

Factor

$$3^{3}$$