Solve -6-(1/2)^2/3

$$- 6 - \frac { ( \frac { 1 } { 2 } ) ^ { 2 } } { 3 }$$

Evaluate

$$-\frac{73}{12}\approx -6.083333333$$

Solution Steps

Calculate \frac{1}{2} to the power of 2 and get \frac{1}{4}.

$$-6-\frac{\frac{1}{4}}{3}$$

Express \frac{\frac{1}{4}}{3} as a single fraction.

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

Multiply 4 and 3 to get 12.

$$-6-\frac{1}{12}$$

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

$$-\frac{72}{12}-\frac{1}{12}$$

Since -\frac{72}{12} and \frac{1}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-72-1}{12}$$

Subtract 1 from -72 to get -73.

$$-\frac{73}{12}$$

Factor

$$-\frac{73}{12} = -6\frac{1}{12} = -6.083333333333333$$