Solve 1/6+3/4*2/3div2

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

Evaluate

$$\frac{5}{12}\approx 0.416666667$$

Solution Steps

Multiply \frac{3}{4} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

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

Cancel out 3 in both numerator and denominator.

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

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

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

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

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

Multiply 2 and 2 to get 4.

$$\frac{1}{6}+\frac{1}{4}$$

Least common multiple of 6 and 4 is 12. Convert \frac{1}{6} and \frac{1}{4} to fractions with denominator 12.

$$\frac{2}{12}+\frac{3}{12}$$

Since \frac{2}{12} and \frac{3}{12} have the same denominator, add them by adding their numerators.

$$\frac{2+3}{12}$$

Add 2 and 3 to get 5.

$$\frac{5}{12}$$

Factor

$$\frac{5}{2 ^ {2} \cdot 3} = 0.4166666666666667$$