Solve -14/21div(-11/14)*1/2+(-1/3)

$$- 1 \frac { 4 } { 21 } \div ( - 1 \frac { 1 } { 14 } ) \times \frac { 1 } { 2 } + ( - \frac { 1 } { 3 } )$$

Evaluate

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

Solution Steps

Multiply 1 and 21 to get 21.

$$\frac{-\frac{21+4}{21}}{-\frac{1\times 14+1}{14}}\times \frac{1}{2}-\frac{1}{3}$$

Add 21 and 4 to get 25.

$$\frac{-\frac{25}{21}}{-\frac{1\times 14+1}{14}}\times \frac{1}{2}-\frac{1}{3}$$

Multiply 1 and 14 to get 14.

$$\frac{-\frac{25}{21}}{-\frac{14+1}{14}}\times \frac{1}{2}-\frac{1}{3}$$

Add 14 and 1 to get 15.

$$\frac{-\frac{25}{21}}{-\frac{15}{14}}\times \frac{1}{2}-\frac{1}{3}$$

Divide -\frac{25}{21} by -\frac{15}{14} by multiplying -\frac{25}{21} by the reciprocal of -\frac{15}{14}.

$$-\frac{25}{21}\left(-\frac{14}{15}\right)\times \frac{1}{2}-\frac{1}{3}$$

Multiply -\frac{25}{21} times -\frac{14}{15} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-25\left(-14\right)}{21\times 15}\times \frac{1}{2}-\frac{1}{3}$$

Do the multiplications in the fraction \frac{-25\left(-14\right)}{21\times 15}.

$$\frac{350}{315}\times \frac{1}{2}-\frac{1}{3}$$

Reduce the fraction \frac{350}{315} to lowest terms by extracting and canceling out 35.

$$\frac{10}{9}\times \frac{1}{2}-\frac{1}{3}$$

Multiply \frac{10}{9} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{10\times 1}{9\times 2}-\frac{1}{3}$$

Do the multiplications in the fraction \frac{10\times 1}{9\times 2}.

$$\frac{10}{18}-\frac{1}{3}$$

Reduce the fraction \frac{10}{18} to lowest terms by extracting and canceling out 2.

$$\frac{5}{9}-\frac{1}{3}$$

Least common multiple of 9 and 3 is 9. Convert \frac{5}{9} and \frac{1}{3} to fractions with denominator 9.

$$\frac{5}{9}-\frac{3}{9}$$

Since \frac{5}{9} and \frac{3}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-3}{9}$$

Subtract 3 from 5 to get 2.

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

Factor

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