Solve 1/2-2^0/frac{1{3}+2^-1}

$$\frac{ \frac{ 1 }{ 2 } - { 2 }^{ 0 } }{ \frac{ 1 }{ 3 } + { 2 }^{ -1 } }$$

Evaluate

$$-\frac{3}{5}=-0.6$$

Solution Steps

Calculate 2 to the power of 0 and get 1.

$$\frac{\frac{1}{2}-1}{\frac{1}{3}+2^{-1}}$$

Subtract 1 from \frac{1}{2} to get -\frac{1}{2}.

$$\frac{-\frac{1}{2}}{\frac{1}{3}+2^{-1}}$$

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

$$\frac{-\frac{1}{2}}{\frac{1}{3}+\frac{1}{2}}$$

Add \frac{1}{3} and \frac{1}{2} to get \frac{5}{6}.

$$\frac{-\frac{1}{2}}{\frac{5}{6}}$$

Divide -\frac{1}{2} by \frac{5}{6} by multiplying -\frac{1}{2} by the reciprocal of \frac{5}{6}.

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

Multiply -\frac{1}{2} and \frac{6}{5} to get -\frac{3}{5}.

$$-\frac{3}{5}$$

Factor

$$-\frac{3}{5} = -0.6$$