Solve [3/2+(-7/21)*1/2]div3

$$[ \frac { 3 } { 2 } + ( - \frac { 7 } { 21 } ) \times \frac { 1 } { 2 } ] \div 3$$

Evaluate

$$\frac{4}{9}\approx 0.444444444$$

Solution Steps

Reduce the fraction \frac{7}{21} to lowest terms by extracting and canceling out 7.

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

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

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

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

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

Fraction \frac{-1}{6} can be rewritten as -\frac{1}{6} by extracting the negative sign.

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

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

$$\frac{\frac{9}{6}-\frac{1}{6}}{3}$$

Since \frac{9}{6} and \frac{1}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{9-1}{6}}{3}$$

Subtract 1 from 9 to get 8.

$$\frac{\frac{8}{6}}{3}$$

Reduce the fraction \frac{8}{6} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{4}{3}}{3}$$

Express \frac{\frac{4}{3}}{3} as a single fraction.

$$\frac{4}{3\times 3}$$

Multiply 3 and 3 to get 9.

$$\frac{4}{9}$$

Factor

$$\frac{2 ^ {2}}{3 ^ {2}} = 0.4444444444444444$$