Solve 1/21/3+2/3-1/2

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

Evaluate

$$\frac{1}{3}\approx 0.333333333$$

Solution Steps

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

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

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

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

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

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

Since \frac{1}{6} and \frac{4}{6} have the same denominator, add them by adding their numerators.

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

Add 1 and 4 to get 5.

$$\frac{5}{6}-\frac{1}{2}$$

Least common multiple of 6 and 2 is 6. Convert \frac{5}{6} and \frac{1}{2} to fractions with denominator 6.

$$\frac{5}{6}-\frac{3}{6}$$

Since \frac{5}{6} and \frac{3}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-3}{6}$$

Subtract 3 from 5 to get 2.

$$\frac{2}{6}$$

Reduce the fraction \frac{2}{6} to lowest terms by extracting and canceling out 2.

$$\frac{1}{3}$$

Factor

$$\frac{1}{3} = 0.3333333333333333$$