Solve (3/2-1-3/8)-3/14]-(9/7-frac{5}{3}+2)*frac{3}{2}}*(-frac{7}{9})

$$( \frac { 3 } { 2 } - 1 - \frac { 3 } { 8 } ) - \frac { 3 } { 14 } ] - ( \frac { 9 } { 7 } - \frac { 5 } { 3 } + 2 ) \cdot \frac { 3 } { 2 } \} \cdot ( - \frac { 7 } { 9 } )$$

Evaluate

$$-\frac{5}{56}\approx -0.089285714$$

Solution Steps

Convert 1 to fraction \frac{2}{2}.

$$\frac{3}{2}-\frac{2}{2}-\frac{3}{8}-\frac{3}{14}$$

Since \frac{3}{2} and \frac{2}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-2}{2}-\frac{3}{8}-\frac{3}{14}$$

Subtract 2 from 3 to get 1.

$$\frac{1}{2}-\frac{3}{8}-\frac{3}{14}$$

Least common multiple of 2 and 8 is 8. Convert \frac{1}{2} and \frac{3}{8} to fractions with denominator 8.

$$\frac{4}{8}-\frac{3}{8}-\frac{3}{14}$$

Since \frac{4}{8} and \frac{3}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4-3}{8}-\frac{3}{14}$$

Subtract 3 from 4 to get 1.

$$\frac{1}{8}-\frac{3}{14}$$

Least common multiple of 8 and 14 is 56. Convert \frac{1}{8} and \frac{3}{14} to fractions with denominator 56.

$$\frac{7}{56}-\frac{12}{56}$$

Since \frac{7}{56} and \frac{12}{56} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-12}{56}$$

Subtract 12 from 7 to get -5.

$$-\frac{5}{56}$$

Factor

$$-\frac{5}{56} = -0.08928571428571429$$