Solve 1/6-3/4*1/3div2

$$\frac { 1 } { 6 } - \frac { 3 } { 4 } \times \frac { 1 } { 3 } \div 2$$

Evaluate

$$\frac{1}{24}\approx 0.041666667$$

Solution Steps

Multiply \frac{3}{4} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{6}-\frac{\frac{3\times 1}{4\times 3}}{2}$$

Cancel out 3 in both numerator and denominator.

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

Express \frac{\frac{1}{4}}{2} as a single fraction.

$$\frac{1}{6}-\frac{1}{4\times 2}$$

Multiply 4 and 2 to get 8.

$$\frac{1}{6}-\frac{1}{8}$$

Least common multiple of 6 and 8 is 24. Convert \frac{1}{6} and \frac{1}{8} to fractions with denominator 24.

$$\frac{4}{24}-\frac{3}{24}$$

Since \frac{4}{24} and \frac{3}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4-3}{24}$$

Subtract 3 from 4 to get 1.

$$\frac{1}{24}$$

Factor

$$\frac{1}{2 ^ {3} \cdot 3} = 0.041666666666666664$$