Solve 0.2+0.4/10*(765-760)

$$0.2 + 0.4 / 10 \times ( 765 - 760 )$$

Evaluate

$$0.4$$

Solution Steps

Expand \frac{0.4}{10} by multiplying both numerator and the denominator by 10.

$$0.2+\frac{4}{100}\left(765-760\right)$$

Reduce the fraction \frac{4}{100} to lowest terms by extracting and canceling out 4.

$$0.2+\frac{1}{25}\left(765-760\right)$$

Subtract 760 from 765 to get 5.

$$0.2+\frac{1}{25}\times 5$$

Multiply \frac{1}{25} and 5 to get \frac{5}{25}.

$$0.2+\frac{5}{25}$$

Reduce the fraction \frac{5}{25} to lowest terms by extracting and canceling out 5.

$$0.2+\frac{1}{5}$$

Convert decimal number 0.2 to fraction \frac{2}{10}. Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1}{5}+\frac{1}{5}$$

Since \frac{1}{5} and \frac{1}{5} have the same denominator, add them by adding their numerators.

$$\frac{1+1}{5}$$

Add 1 and 1 to get 2.

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

Factor

$$\frac{2}{5} = 0.4$$