Solve 0.1/0.25+1.3

$$\frac{ 0.1 }{ 0.25 } +1.3$$

Evaluate

$$1.7$$

Solution Steps

Expand \frac{0.1}{0.25} by multiplying both numerator and the denominator by 100.

$$\frac{10}{25}+1.3$$

Reduce the fraction \frac{10}{25} to lowest terms by extracting and canceling out 5.

$$\frac{2}{5}+1.3$$

Convert decimal number 1.3 to fraction \frac{13}{10}.

$$\frac{2}{5}+\frac{13}{10}$$

Least common multiple of 5 and 10 is 10. Convert \frac{2}{5} and \frac{13}{10} to fractions with denominator 10.

$$\frac{4}{10}+\frac{13}{10}$$

Since \frac{4}{10} and \frac{13}{10} have the same denominator, add them by adding their numerators.

$$\frac{4+13}{10}$$

Add 4 and 13 to get 17.

$$\frac{17}{10}$$

Factor

$$\frac{17}{2 \cdot 5} = 1\frac{7}{10} = 1.7$$