Solve 0.0327+(0.4)(0.0359)+(0.4)(0.4-1)(0.0039)/2

$$0.0327 + ( 0.4 ) ( 0.0359 ) + \frac { ( 0.4 ) ( 0.4 - 1 ) ( 0.0039 ) } { 2 }$$

Evaluate

$$0.046592$$

Solution Steps

Multiply 0.4 and 0.0359 to get 0.01436.

$$0.0327+0.01436+\frac{0.4\left(0.4-1\right)\times 0.0039}{2}$$

Add 0.0327 and 0.01436 to get 0.04706.

$$0.04706+\frac{0.4\left(0.4-1\right)\times 0.0039}{2}$$

Subtract 1 from 0.4 to get -0.6.

$$0.04706+\frac{0.4\left(-0.6\right)\times 0.0039}{2}$$

Multiply 0.4 and -0.6 to get -0.24.

$$0.04706+\frac{-0.24\times 0.0039}{2}$$

Multiply -0.24 and 0.0039 to get -0.000936.

$$0.04706+\frac{-0.000936}{2}$$

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

$$0.04706+\frac{-936}{2000000}$$

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

$$0.04706-\frac{117}{250000}$$

Convert decimal number 0.04706 to fraction \frac{4706}{100000}. Reduce the fraction \frac{4706}{100000} to lowest terms by extracting and canceling out 2.

$$\frac{2353}{50000}-\frac{117}{250000}$$

Least common multiple of 50000 and 250000 is 250000. Convert \frac{2353}{50000} and \frac{117}{250000} to fractions with denominator 250000.

$$\frac{11765}{250000}-\frac{117}{250000}$$

Since \frac{11765}{250000} and \frac{117}{250000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11765-117}{250000}$$

Subtract 117 from 11765 to get 11648.

$$\frac{11648}{250000}$$

Reduce the fraction \frac{11648}{250000} to lowest terms by extracting and canceling out 16.

$$\frac{728}{15625}$$

Factor

$$\frac{7 \cdot 13 \cdot 2 ^ {3}}{5 ^ {6}} = 0.046592$$