Solve 2/3+1/4*1/3*2/3-frac{1}{2}

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

Evaluate

$$\frac{2}{9}\approx 0.222222222$$

Solution Steps

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

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

Do the multiplications in the fraction \frac{1\times 1}{4\times 3}.

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

Multiply \frac{1}{12} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{1\times 2}{12\times 3}.

$$\frac{2}{3}+\frac{2}{36}-\frac{1}{2}$$

Reduce the fraction \frac{2}{36} to lowest terms by extracting and canceling out 2.

$$\frac{2}{3}+\frac{1}{18}-\frac{1}{2}$$

Least common multiple of 3 and 18 is 18. Convert \frac{2}{3} and \frac{1}{18} to fractions with denominator 18.

$$\frac{12}{18}+\frac{1}{18}-\frac{1}{2}$$

Since \frac{12}{18} and \frac{1}{18} have the same denominator, add them by adding their numerators.

$$\frac{12+1}{18}-\frac{1}{2}$$

Add 12 and 1 to get 13.

$$\frac{13}{18}-\frac{1}{2}$$

Least common multiple of 18 and 2 is 18. Convert \frac{13}{18} and \frac{1}{2} to fractions with denominator 18.

$$\frac{13}{18}-\frac{9}{18}$$

Since \frac{13}{18} and \frac{9}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{13-9}{18}$$

Subtract 9 from 13 to get 4.

$$\frac{4}{18}$$

Reduce the fraction \frac{4}{18} to lowest terms by extracting and canceling out 2.

$$\frac{2}{9}$$

Factor

$$\frac{2}{3 ^ {2}} = 0.2222222222222222$$