Solve 0.4(9%)(1-0.4)+0.6

$$0.4(9 \% )(1-0.4)+0.6$$

Evaluate

$$0.6216$$

Solution Steps

Convert decimal number 0.4 to fraction \frac{4}{10}. Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$\frac{2}{5}\times \frac{9}{100}\left(1-0.4\right)+0.6$$

Multiply \frac{2}{5} times \frac{9}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 9}{5\times 100}\left(1-0.4\right)+0.6$$

Do the multiplications in the fraction \frac{2\times 9}{5\times 100}.

$$\frac{18}{500}\left(1-0.4\right)+0.6$$

Reduce the fraction \frac{18}{500} to lowest terms by extracting and canceling out 2.

$$\frac{9}{250}\left(1-0.4\right)+0.6$$

Subtract 0.4 from 1 to get 0.6.

$$\frac{9}{250}\times 0.6+0.6$$

Convert decimal number 0.6 to fraction \frac{6}{10}. Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.

$$\frac{9}{250}\times \frac{3}{5}+0.6$$

Multiply \frac{9}{250} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 3}{250\times 5}+0.6$$

Do the multiplications in the fraction \frac{9\times 3}{250\times 5}.

$$\frac{27}{1250}+0.6$$

Convert decimal number 0.6 to fraction \frac{6}{10}. Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.

$$\frac{27}{1250}+\frac{3}{5}$$

Least common multiple of 1250 and 5 is 1250. Convert \frac{27}{1250} and \frac{3}{5} to fractions with denominator 1250.

$$\frac{27}{1250}+\frac{750}{1250}$$

Since \frac{27}{1250} and \frac{750}{1250} have the same denominator, add them by adding their numerators.

$$\frac{27+750}{1250}$$

Add 27 and 750 to get 777.

$$\frac{777}{1250}$$

Factor

$$\frac{3 \cdot 7 \cdot 37}{2 \cdot 5 ^ {4}} = 0.6216$$