Solve 1.125-6+-1.5^2div-2

$$1.125-6+- { 1.5 }^{ 2 } \div -2$$

Evaluate

$$-3.75$$

Solution Steps

Subtract 6 from 1.125 to get -4.875.

$$-4.875+\frac{-1.5^{2}}{-2}$$

Calculate 1.5 to the power of 2 and get 2.25.

$$-4.875+\frac{-2.25}{-2}$$

Expand \frac{-2.25}{-2} by multiplying both numerator and the denominator by 100.

$$-4.875+\frac{-225}{-200}$$

Reduce the fraction \frac{-225}{-200} to lowest terms by extracting and canceling out -25.

$$-4.875+\frac{9}{8}$$

Convert decimal number -4.875 to fraction -\frac{4875}{1000}. Reduce the fraction -\frac{4875}{1000} to lowest terms by extracting and canceling out 125.

$$-\frac{39}{8}+\frac{9}{8}$$

Since -\frac{39}{8} and \frac{9}{8} have the same denominator, add them by adding their numerators.

$$\frac{-39+9}{8}$$

Add -39 and 9 to get -30.

$$\frac{-30}{8}$$

Reduce the fraction \frac{-30}{8} to lowest terms by extracting and canceling out 2.

$$-\frac{15}{4}$$

Factor

$$-3.75$$