Solve 8+(1/2+3/4)div1/3

$$8 + ( 1 / 2 + 3 / 4 ) \div 1 / 3$$

Evaluate

$$\frac{47}{4}=11.75$$

Solution Steps

Least common multiple of 2 and 4 is 4. Convert \frac{1}{2} and \frac{3}{4} to fractions with denominator 4.

$$8+\frac{\frac{2}{4}+\frac{3}{4}}{\frac{1}{3}}$$

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

$$8+\frac{\frac{2+3}{4}}{\frac{1}{3}}$$

Add 2 and 3 to get 5.

$$8+\frac{\frac{5}{4}}{\frac{1}{3}}$$

Divide \frac{5}{4} by \frac{1}{3} by multiplying \frac{5}{4} by the reciprocal of \frac{1}{3}.

$$8+\frac{5}{4}\times 3$$

Express \frac{5}{4}\times 3 as a single fraction.

$$8+\frac{5\times 3}{4}$$

Multiply 5 and 3 to get 15.

$$8+\frac{15}{4}$$

Convert 8 to fraction \frac{32}{4}.

$$\frac{32}{4}+\frac{15}{4}$$

Since \frac{32}{4} and \frac{15}{4} have the same denominator, add them by adding their numerators.

$$\frac{32+15}{4}$$

Add 32 and 15 to get 47.

$$\frac{47}{4}$$

Factor

$$\frac{47}{2 ^ {2}} = 11\frac{3}{4} = 11.75$$