Solve (1+0.8/20)+0.8

$$(1+ \frac{ 0.8 }{ 20 } )+0.8$$

Evaluate

$$1.84$$

Solution Steps

Expand \frac{0.8}{20} by multiplying both numerator and the denominator by 10.

$$1+\frac{8}{200}+0.8$$

Reduce the fraction \frac{8}{200} to lowest terms by extracting and canceling out 8.

$$1+\frac{1}{25}+0.8$$

Convert 1 to fraction \frac{25}{25}.

$$\frac{25}{25}+\frac{1}{25}+0.8$$

Since \frac{25}{25} and \frac{1}{25} have the same denominator, add them by adding their numerators.

$$\frac{25+1}{25}+0.8$$

Add 25 and 1 to get 26.

$$\frac{26}{25}+0.8$$

Convert decimal number 0.8 to fraction \frac{8}{10}. Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$\frac{26}{25}+\frac{4}{5}$$

Least common multiple of 25 and 5 is 25. Convert \frac{26}{25} and \frac{4}{5} to fractions with denominator 25.

$$\frac{26}{25}+\frac{20}{25}$$

Since \frac{26}{25} and \frac{20}{25} have the same denominator, add them by adding their numerators.

$$\frac{26+20}{25}$$

Add 26 and 20 to get 46.

$$\frac{46}{25}$$

Factor

$$\frac{2 \cdot 23}{5 ^ {2}} = 1\frac{21}{25} = 1.84$$