Solve (2/3-1/4)+(1/2*1/3)

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

Evaluate

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

Solution Steps

Least common multiple of 3 and 4 is 12. Convert \frac{2}{3} and \frac{1}{4} to fractions with denominator 12.

$$\frac{8}{12}-\frac{3}{12}+\frac{1}{2}\times \frac{1}{3}$$

Since \frac{8}{12} and \frac{3}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8-3}{12}+\frac{1}{2}\times \frac{1}{3}$$

Subtract 3 from 8 to get 5.

$$\frac{5}{12}+\frac{1}{2}\times \frac{1}{3}$$

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

$$\frac{5}{12}+\frac{1\times 1}{2\times 3}$$

Do the multiplications in the fraction \frac{1\times 1}{2\times 3}.

$$\frac{5}{12}+\frac{1}{6}$$

Least common multiple of 12 and 6 is 12. Convert \frac{5}{12} and \frac{1}{6} to fractions with denominator 12.

$$\frac{5}{12}+\frac{2}{12}$$

Since \frac{5}{12} and \frac{2}{12} have the same denominator, add them by adding their numerators.

$$\frac{5+2}{12}$$

Add 5 and 2 to get 7.

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

Factor

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