Solve 0.0027+(0.4)(0.0350)+(0.4)(0.4-1)(0.0035)/2

$$0.0027 + ( 0.4 ) ( 0.0350 ) + \frac { ( 0.4 ) ( 0.4 - 1 ) ( 0.0035 ) } { 2 }$$

Evaluate

$$0.01628$$

Solution Steps

Multiply 0.4 and 0.035 to get 0.014.

$$0.0027+0.014+\frac{0.4\left(0.4-1\right)\times 0.0035}{2}$$

Add 0.0027 and 0.014 to get 0.0167.

$$0.0167+\frac{0.4\left(0.4-1\right)\times 0.0035}{2}$$

Subtract 1 from 0.4 to get -0.6.

$$0.0167+\frac{0.4\left(-0.6\right)\times 0.0035}{2}$$

Multiply 0.4 and -0.6 to get -0.24.

$$0.0167+\frac{-0.24\times 0.0035}{2}$$

Multiply -0.24 and 0.0035 to get -0.00084.

$$0.0167+\frac{-0.00084}{2}$$

Expand \frac{-0.00084}{2} by multiplying both numerator and the denominator by 100000.

$$0.0167+\frac{-84}{200000}$$

Reduce the fraction \frac{-84}{200000} to lowest terms by extracting and canceling out 4.

$$0.0167-\frac{21}{50000}$$

Convert decimal number 0.0167 to fraction \frac{167}{10000}.

$$\frac{167}{10000}-\frac{21}{50000}$$

Least common multiple of 10000 and 50000 is 50000. Convert \frac{167}{10000} and \frac{21}{50000} to fractions with denominator 50000.

$$\frac{835}{50000}-\frac{21}{50000}$$

Since \frac{835}{50000} and \frac{21}{50000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{835-21}{50000}$$

Subtract 21 from 835 to get 814.

$$\frac{814}{50000}$$

Reduce the fraction \frac{814}{50000} to lowest terms by extracting and canceling out 2.

$$\frac{407}{25000}$$

Factor

$$\frac{11 \cdot 37}{2 ^ {3} \cdot 5 ^ {5}} = 0.01628$$