Solve 1/0.2+1/0.4

$$\frac{ 1 }{ 0.2 } + \frac{ 1 }{ 0.4 }$$

Evaluate

$$7.5$$

Solution Steps

Expand \frac{1}{0.2} by multiplying both numerator and the denominator by 10.

$$\frac{10}{2}+\frac{1}{0.4}$$

Divide 10 by 2 to get 5.

$$5+\frac{1}{0.4}$$

Expand \frac{1}{0.4} by multiplying both numerator and the denominator by 10.

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

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

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

Convert 5 to fraction \frac{10}{2}.

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

Since \frac{10}{2} and \frac{5}{2} have the same denominator, add them by adding their numerators.

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

Add 10 and 5 to get 15.

$$\frac{15}{2}$$

Factor

$$\frac{3 \cdot 5}{2} = 7\frac{1}{2} = 7.5$$