Solve 1/3-(-1/2)^2div(-3/8)

$$\frac { 1 } { 3 } - ( - \frac { 1 } { 2 } ) ^ { 2 } \div ( - \frac { 3 } { 8 } )$$

Evaluate

$$1$$

Solution Steps

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

$$\frac{1}{3}-\frac{\frac{1}{4}}{-\frac{3}{8}}$$

Divide \frac{1}{4} by -\frac{3}{8} by multiplying \frac{1}{4} by the reciprocal of -\frac{3}{8}.

$$\frac{1}{3}-\frac{1}{4}\left(-\frac{8}{3}\right)$$

Multiply \frac{1}{4} times -\frac{8}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{3}-\frac{1\left(-8\right)}{4\times 3}$$

Do the multiplications in the fraction \frac{1\left(-8\right)}{4\times 3}.

$$\frac{1}{3}-\frac{-8}{12}$$

Reduce the fraction \frac{-8}{12} to lowest terms by extracting and canceling out 4.

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

The opposite of -\frac{2}{3} is \frac{2}{3}.

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

Since \frac{1}{3} and \frac{2}{3} have the same denominator, add them by adding their numerators.

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

Add 1 and 2 to get 3.

$$\frac{3}{3}$$

Divide 3 by 3 to get 1.

$$1$$

Factor

$$1$$