Solve -1/4*(+3)div(-1/2)^2

$$- \frac { 1 } { 4 } \times ( + 3 ) \div ( - \frac { 1 } { 2 } ) ^ { 2 }$$

Evaluate

$$-3$$

Solution Steps

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

$$\frac{\frac{-3}{4}}{\left(-\frac{1}{2}\right)^{2}}$$

Fraction \frac{-3}{4} can be rewritten as -\frac{3}{4} by extracting the negative sign.

$$\frac{-\frac{3}{4}}{\left(-\frac{1}{2}\right)^{2}}$$

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

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

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

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

Cancel out 4 and 4.

$$-3$$

Factor

$$-3$$