Solve 3/2*1/3+2/3-1/4:frac{2}{8}=

$$\frac { 3 } { 2 } \times \frac { 1 } { 3 } + \frac { 2 } { 3 } - \frac { 1 } { 4 } : \frac { 2 } { 8 } =$$

Evaluate

$$\frac{1}{6}\approx 0.166666667$$

Solution Steps

Multiply \frac{3}{2} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

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

Cancel out 3 in both numerator and denominator.

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

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

$$\frac{3}{6}+\frac{4}{6}-\frac{\frac{1}{4}}{\frac{2}{8}}$$

Since \frac{3}{6} and \frac{4}{6} have the same denominator, add them by adding their numerators.

$$\frac{3+4}{6}-\frac{\frac{1}{4}}{\frac{2}{8}}$$

Add 3 and 4 to get 7.

$$\frac{7}{6}-\frac{\frac{1}{4}}{\frac{2}{8}}$$

Divide \frac{1}{4} by \frac{2}{8} by multiplying \frac{1}{4} by the reciprocal of \frac{2}{8}.

$$\frac{7}{6}-\frac{8}{4\times 2}$$

Multiply 4 and 2 to get 8.

$$\frac{7}{6}-\frac{8}{8}$$

Divide 8 by 8 to get 1.

$$\frac{7}{6}-1$$

Convert 1 to fraction \frac{6}{6}.

$$\frac{7}{6}-\frac{6}{6}$$

Since \frac{7}{6} and \frac{6}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-6}{6}$$

Subtract 6 from 7 to get 1.

$$\frac{1}{6}$$

Factor

$$\frac{1}{2 \cdot 3} = 0.16666666666666666$$