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

$$( \frac { 1 } { 3 } + \frac { 2 } { 4 } ) \div \frac { 1 } { 2 }$$

Evaluate

$$\frac{5}{3}\approx 1.666666667$$

Solution Steps

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

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

Least common multiple of 3 and 2 is 6. Convert \frac{1}{3} and \frac{1}{2} to fractions with denominator 6.

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

Since \frac{2}{6} and \frac{3}{6} have the same denominator, add them by adding their numerators.

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

Add 2 and 3 to get 5.

$$\frac{\frac{5}{6}}{\frac{1}{2}}$$

Divide \frac{5}{6} by \frac{1}{2} by multiplying \frac{5}{6} by the reciprocal of \frac{1}{2}.

$$\frac{5}{6}\times 2$$

Express \frac{5}{6}\times 2 as a single fraction.

$$\frac{5\times 2}{6}$$

Multiply 5 and 2 to get 10.

$$\frac{10}{6}$$

Reduce the fraction \frac{10}{6} to lowest terms by extracting and canceling out 2.

$$\frac{5}{3}$$

Factor

$$\frac{5}{3} = 1\frac{2}{3} = 1.6666666666666667$$