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

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

Evaluate

$$\frac{7}{12}\approx 0.583333333$$

Solution Steps

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

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

Cancel out 2 in both numerator and denominator.

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

Least common multiple of 3 and 4 is 12. Convert \frac{1}{3} and \frac{1}{4} to fractions with denominator 12.

$$\frac{4}{12}+\frac{3}{12}$$

Since \frac{4}{12} and \frac{3}{12} have the same denominator, add them by adding their numerators.

$$\frac{4+3}{12}$$

Add 4 and 3 to get 7.

$$\frac{7}{12}$$

Factor

$$\frac{7}{2 ^ {2} \cdot 3} = 0.5833333333333334$$