Solve 1/2text{of}8+(1/2+3/2)div1/3

$$1 / 2 \text { of } 8 + ( 1 / 2 + 3 / 2 ) \div 1 / 3$$

Evaluate

$$10$$

Solution Steps

Multiply \frac{1}{2} and 8 to get \frac{8}{2}.

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

Divide 8 by 2 to get 4.

$$4+\frac{\frac{1}{2}+\frac{3}{2}}{\frac{1}{3}}$$

Since \frac{1}{2} and \frac{3}{2} have the same denominator, add them by adding their numerators.

$$4+\frac{\frac{1+3}{2}}{\frac{1}{3}}$$

Add 1 and 3 to get 4.

$$4+\frac{\frac{4}{2}}{\frac{1}{3}}$$

Divide 4 by 2 to get 2.

$$4+\frac{2}{\frac{1}{3}}$$

Divide 2 by \frac{1}{3} by multiplying 2 by the reciprocal of \frac{1}{3}.

$$4+2\times 3$$

Multiply 2 and 3 to get 6.

$$4+6$$

Add 4 and 6 to get 10.

$$10$$

Factor

$$2\times 5$$