Solve (-0.16)+(0.25)(0.496)+(0.25)(0.25-1)(0.544)/2

$$( - 0.16 ) + ( 0.25 ) ( 0.496 ) + \frac { ( 0.25 ) ( 0.25 - 1 ) ( 0.544 ) } { 2 }$$

Evaluate

$$-0.087$$

Solution Steps

Multiply 0.25 and 0.496 to get 0.124.

$$-0.16+0.124+\frac{0.25\left(0.25-1\right)\times 0.544}{2}$$

Add -0.16 and 0.124 to get -0.036.

$$-0.036+\frac{0.25\left(0.25-1\right)\times 0.544}{2}$$

Subtract 1 from 0.25 to get -0.75.

$$-0.036+\frac{0.25\left(-0.75\right)\times 0.544}{2}$$

Multiply 0.25 and -0.75 to get -0.1875.

$$-0.036+\frac{-0.1875\times 0.544}{2}$$

Multiply -0.1875 and 0.544 to get -0.102.

$$-0.036+\frac{-0.102}{2}$$

Expand \frac{-0.102}{2} by multiplying both numerator and the denominator by 1000.

$$-0.036+\frac{-102}{2000}$$

Reduce the fraction \frac{-102}{2000} to lowest terms by extracting and canceling out 2.

$$-0.036-\frac{51}{1000}$$

Convert decimal number -0.036 to fraction -\frac{36}{1000}. Reduce the fraction -\frac{36}{1000} to lowest terms by extracting and canceling out 4.

$$-\frac{9}{250}-\frac{51}{1000}$$

Least common multiple of 250 and 1000 is 1000. Convert -\frac{9}{250} and \frac{51}{1000} to fractions with denominator 1000.

$$-\frac{36}{1000}-\frac{51}{1000}$$

Since -\frac{36}{1000} and \frac{51}{1000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-36-51}{1000}$$

Subtract 51 from -36 to get -87.

$$-\frac{87}{1000}$$

Factor

$$-0.087$$