Solve 1/0.1+1/2.5

$$\frac{ 1 }{ 0.1 } + \frac{ 1 }{ 2.5 }$$

Evaluate

$$10.4$$

Solution Steps

Expand \frac{1}{0.1} by multiplying both numerator and the denominator by 10. Anything divided by one gives itself.

$$10+\frac{1}{2.5}$$

Expand \frac{1}{2.5} by multiplying both numerator and the denominator by 10.

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

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

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

Convert 10 to fraction \frac{50}{5}.

$$\frac{50}{5}+\frac{2}{5}$$

Since \frac{50}{5} and \frac{2}{5} have the same denominator, add them by adding their numerators.

$$\frac{50+2}{5}$$

Add 50 and 2 to get 52.

$$\frac{52}{5}$$

Factor

$$\frac{13 \cdot 2 ^ {2}}{5} = 10\frac{2}{5} = 10.4$$