Solve (-3+1/2):(-3-1/2)*2-3*1/4=

$$( - 3 + \frac { 1 } { 2 } ) : ( - 3 - \frac { 1 } { 2 } ) \cdot 2 - 3 \cdot \frac { 1 } { 4 } =$$

Evaluate

$$\frac{19}{28}\approx 0.678571429$$

Solution Steps

Convert -3 to fraction -\frac{6}{2}.

$$\frac{-\frac{6}{2}+\frac{1}{2}}{-3-\frac{1}{2}}\times 2-3\times \frac{1}{4}$$

Since -\frac{6}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$\frac{\frac{-6+1}{2}}{-3-\frac{1}{2}}\times 2-3\times \frac{1}{4}$$

Add -6 and 1 to get -5.

$$\frac{-\frac{5}{2}}{-3-\frac{1}{2}}\times 2-3\times \frac{1}{4}$$

Convert -3 to fraction -\frac{6}{2}.

$$\frac{-\frac{5}{2}}{-\frac{6}{2}-\frac{1}{2}}\times 2-3\times \frac{1}{4}$$

Since -\frac{6}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-\frac{5}{2}}{\frac{-6-1}{2}}\times 2-3\times \frac{1}{4}$$

Subtract 1 from -6 to get -7.

$$\frac{-\frac{5}{2}}{-\frac{7}{2}}\times 2-3\times \frac{1}{4}$$

Divide -\frac{5}{2} by -\frac{7}{2} by multiplying -\frac{5}{2} by the reciprocal of -\frac{7}{2}.

$$-\frac{5}{2}\left(-\frac{2}{7}\right)\times 2-3\times \frac{1}{4}$$

Multiply -\frac{5}{2} times -\frac{2}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-5\left(-2\right)}{2\times 7}\times 2-3\times \frac{1}{4}$$

Do the multiplications in the fraction \frac{-5\left(-2\right)}{2\times 7}.

$$\frac{10}{14}\times 2-3\times \frac{1}{4}$$

Reduce the fraction \frac{10}{14} to lowest terms by extracting and canceling out 2.

$$\frac{5}{7}\times 2-3\times \frac{1}{4}$$

Express \frac{5}{7}\times 2 as a single fraction.

$$\frac{5\times 2}{7}-3\times \frac{1}{4}$$

Multiply 5 and 2 to get 10.

$$\frac{10}{7}-3\times \frac{1}{4}$$

Multiply 3 and \frac{1}{4} to get \frac{3}{4}.

$$\frac{10}{7}-\frac{3}{4}$$

Least common multiple of 7 and 4 is 28. Convert \frac{10}{7} and \frac{3}{4} to fractions with denominator 28.

$$\frac{40}{28}-\frac{21}{28}$$

Since \frac{40}{28} and \frac{21}{28} have the same denominator, subtract them by subtracting their numerators.

$$\frac{40-21}{28}$$

Subtract 21 from 40 to get 19.

$$\frac{19}{28}$$

Factor

$$\frac{19}{2 ^ {2} \cdot 7} = 0.6785714285714286$$