Solve 1/2[-7/12-6]

$$\frac { 1 } { 2 } [ \frac { - 7 } { 12 } - 6 ]$$

Evaluate

$$-\frac{79}{24}\approx -3.291666667$$

Solution Steps

Fraction \frac{-7}{12} can be rewritten as -\frac{7}{12} by extracting the negative sign.

$$\frac{1}{2}\left(-\frac{7}{12}-6\right)$$

Convert 6 to fraction \frac{72}{12}.

$$\frac{1}{2}\left(-\frac{7}{12}-\frac{72}{12}\right)$$

Since -\frac{7}{12} and \frac{72}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{2}\times \frac{-7-72}{12}$$

Subtract 72 from -7 to get -79.

$$\frac{1}{2}\left(-\frac{79}{12}\right)$$

Multiply \frac{1}{2} times -\frac{79}{12} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\left(-79\right)}{2\times 12}$$

Do the multiplications in the fraction \frac{1\left(-79\right)}{2\times 12}.

$$\frac{-79}{24}$$

Fraction \frac{-79}{24} can be rewritten as -\frac{79}{24} by extracting the negative sign.

$$-\frac{79}{24}$$

Factor

$$-\frac{79}{24} = -3\frac{7}{24} = -3.2916666666666665$$