Solve (3/10-1/5)+4

$$( \frac{ 3 }{ 10 } - \frac{ 1 }{ 5 } )+4$$

Evaluate

$$\frac{41}{10}=4.1$$

Solution Steps

Least common multiple of 10 and 5 is 10. Convert \frac{3}{10} and \frac{1}{5} to fractions with denominator 10.

$$\frac{3}{10}-\frac{2}{10}+4$$

Since \frac{3}{10} and \frac{2}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-2}{10}+4$$

Subtract 2 from 3 to get 1.

$$\frac{1}{10}+4$$

Convert 4 to fraction \frac{40}{10}.

$$\frac{1}{10}+\frac{40}{10}$$

Since \frac{1}{10} and \frac{40}{10} have the same denominator, add them by adding their numerators.

$$\frac{1+40}{10}$$

Add 1 and 40 to get 41.

$$\frac{41}{10}$$

Factor

$$\frac{41}{2 \cdot 5} = 4\frac{1}{10} = 4.1$$