Solve 0.0027+(0.4)(0.0359)+(0.4)(0.4-1)(0.0039)/2

$$0.0027 + ( 0.4 ) ( 0.0359 ) + \frac { ( 0.4 ) ( 0.4 - 1 ) ( 0.0039 ) } { 2 }$$

Evaluate

$$0.016592$$

Solution Steps

Multiply 0.4 and 0.0359 to get 0.01436.

$$0.0027+0.01436+\frac{0.4\left(0.4-1\right)\times 0.0039}{2}$$

Add 0.0027 and 0.01436 to get 0.01706.

$$0.01706+\frac{0.4\left(0.4-1\right)\times 0.0039}{2}$$

Subtract 1 from 0.4 to get -0.6.

$$0.01706+\frac{0.4\left(-0.6\right)\times 0.0039}{2}$$

Multiply 0.4 and -0.6 to get -0.24.

$$0.01706+\frac{-0.24\times 0.0039}{2}$$

Multiply -0.24 and 0.0039 to get -0.000936.

$$0.01706+\frac{-0.000936}{2}$$

Expand \frac{-0.000936}{2} by multiplying both numerator and the denominator by 1000000.

$$0.01706+\frac{-936}{2000000}$$

Reduce the fraction \frac{-936}{2000000} to lowest terms by extracting and canceling out 8.

$$0.01706-\frac{117}{250000}$$

Convert decimal number 0.01706 to fraction \frac{1706}{100000}. Reduce the fraction \frac{1706}{100000} to lowest terms by extracting and canceling out 2.

$$\frac{853}{50000}-\frac{117}{250000}$$

Least common multiple of 50000 and 250000 is 250000. Convert \frac{853}{50000} and \frac{117}{250000} to fractions with denominator 250000.

$$\frac{4265}{250000}-\frac{117}{250000}$$

Since \frac{4265}{250000} and \frac{117}{250000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4265-117}{250000}$$

Subtract 117 from 4265 to get 4148.

$$\frac{4148}{250000}$$

Reduce the fraction \frac{4148}{250000} to lowest terms by extracting and canceling out 4.

$$\frac{1037}{62500}$$

Factor

$$\frac{17 \cdot 61}{2 ^ {2} \cdot 5 ^ {6}} = 0.016592$$