Solve 4/5+0.4-4/5+4/10

$$\frac{ 4 }{ 5 } +0.4- \frac{ 4 }{ 5 } + \frac{ 4 }{ 10 }$$

Evaluate

$$0.8$$

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.

$$\frac{4}{5}+\frac{2}{5}-\frac{4}{5}+\frac{4}{10}$$

Since \frac{4}{5} and \frac{2}{5} have the same denominator, add them by adding their numerators.

$$\frac{4+2}{5}-\frac{4}{5}+\frac{4}{10}$$

Add 4 and 2 to get 6.

$$\frac{6}{5}-\frac{4}{5}+\frac{4}{10}$$

Since \frac{6}{5} and \frac{4}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6-4}{5}+\frac{4}{10}$$

Subtract 4 from 6 to get 2.

$$\frac{2}{5}+\frac{4}{10}$$

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

$$\frac{2}{5}+\frac{2}{5}$$

Since \frac{2}{5} and \frac{2}{5} have the same denominator, add them by adding their numerators.

$$\frac{2+2}{5}$$

Add 2 and 2 to get 4.

$$\frac{4}{5}$$

Factor

$$\frac{2 ^ {2}}{5} = 0.8$$