Solve -3div[(-4)*(4/5)]=

$$- 3 \div [ ( - 4 ) \times ( \frac { 4 } { 5 } ) ] =$$

Evaluate

$$\frac{15}{16}=0.9375$$

Solution Steps

Express -4\times \frac{4}{5} as a single fraction.

$$\frac{-3}{\frac{-4\times 4}{5}}$$

Multiply -4 and 4 to get -16.

$$\frac{-3}{\frac{-16}{5}}$$

Fraction \frac{-16}{5} can be rewritten as -\frac{16}{5} by extracting the negative sign.

$$\frac{-3}{-\frac{16}{5}}$$

Divide -3 by -\frac{16}{5} by multiplying -3 by the reciprocal of -\frac{16}{5}.

$$-3\left(-\frac{5}{16}\right)$$

Express -3\left(-\frac{5}{16}\right) as a single fraction.

$$\frac{-3\left(-5\right)}{16}$$

Multiply -3 and -5 to get 15.

$$\frac{15}{16}$$

Factor

$$\frac{3 \cdot 5}{2 ^ {4}} = 0.9375$$