Solve (-281/2)div(-2.5)div(-4)div0.8

$$( - 28 \frac { 1 } { 2 } ) \div ( - 2.5 ) \div ( - 4 ) \div 0.8$$

Evaluate

$$-3.5625$$

Solution Steps

Express \frac{\frac{\frac{-\frac{28\times 2+1}{2}}{-2.5}}{-4}}{0.8} as a single fraction.

$$\frac{\frac{-\frac{28\times 2+1}{2}}{-2.5}}{-4\times 0.8}$$

Multiply 28 and 2 to get 56.

$$\frac{\frac{-\frac{56+1}{2}}{-2.5}}{-4\times 0.8}$$

Add 56 and 1 to get 57.

$$\frac{\frac{-\frac{57}{2}}{-2.5}}{-4\times 0.8}$$

Express \frac{-\frac{57}{2}}{-2.5} as a single fraction.

$$\frac{\frac{-57}{2\left(-2.5\right)}}{-4\times 0.8}$$

Multiply 2 and -2.5 to get -5.

$$\frac{\frac{-57}{-5}}{-4\times 0.8}$$

Fraction \frac{-57}{-5} can be simplified to \frac{57}{5} by removing the negative sign from both the numerator and the denominator.

$$\frac{\frac{57}{5}}{-4\times 0.8}$$

Multiply -4 and 0.8 to get -3.2.

$$\frac{\frac{57}{5}}{-3.2}$$

Express \frac{\frac{57}{5}}{-3.2} as a single fraction.

$$\frac{57}{5\left(-3.2\right)}$$

Multiply 5 and -3.2 to get -16.

$$\frac{57}{-16}$$

Fraction \frac{57}{-16} can be rewritten as -\frac{57}{16} by extracting the negative sign.

$$-\frac{57}{16}$$

Factor

$$-3.5625$$