Solve frac{-frac{sqrt{3}}{2}*3-1/2*7}{6}

$$\frac { - \frac { \sqrt { 3 } } { 2 } \cdot 3 - \frac { 1 } { 2 } \cdot 7 } { 6 }$$

Evaluate

$$-\frac{\sqrt{3}}{4}-\frac{7}{12}\approx -1.016346035$$

Short Solution Steps

Express 3\left(-\frac{\sqrt{3}}{2}\right) as a single fraction.

$$\frac{\frac{-3\sqrt{3}}{2}-\frac{1}{2}\times 7}{6}$$

Multiply \frac{1}{2} and 7 to get \frac{7}{2}.

$$\frac{\frac{-3\sqrt{3}}{2}-\frac{7}{2}}{6}$$

Since \frac{-3\sqrt{3}}{2} and \frac{7}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{-3\sqrt{3}-7}{2}}{6}$$

Express \frac{\frac{-3\sqrt{3}-7}{2}}{6} as a single fraction.

$$\frac{-3\sqrt{3}-7}{2\times 6}$$

Multiply 2 and 6 to get 12.

$$\frac{-3\sqrt{3}-7}{12}$$

Factor

$$\frac{-3 \sqrt{3} - 7}{12} = -1.0163460352255527$$