Solve 1/2-1/6/{left(2*frac{1{6}right)}^2}

$$\frac{ \frac{ 1 }{ 2 } - \frac{ 1 }{ 6 } }{ { \left(2 \times \frac{ 1 }{ 6 } \right) }^{ 2 } }$$

Evaluate

$$3$$

Solution Steps

Subtract \frac{1}{6} from \frac{1}{2} to get \frac{1}{3}.

$$\frac{\frac{1}{3}}{\left(2\times \frac{1}{6}\right)^{2}}$$

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

$$\frac{\frac{1}{3}}{\left(\frac{1}{3}\right)^{2}}$$

Calculate \frac{1}{3} to the power of 2 and get \frac{1}{9}.

$$\frac{\frac{1}{3}}{\frac{1}{9}}$$

Divide \frac{1}{3} by \frac{1}{9} by multiplying \frac{1}{3} by the reciprocal of \frac{1}{9}.

$$\frac{1}{3}\times 9$$

Multiply \frac{1}{3} and 9 to get 3.

$$3$$

Factor

$$3$$