Solve 2/5-3+9/2

$$\frac{ 2 }{ 5 } -3+ \frac{ 9 }{ 2 }$$

Evaluate

$$\frac{19}{10}=1.9$$

Solution Steps

Convert 3 to fraction \frac{15}{5}.

$$\frac{2}{5}-\frac{15}{5}+\frac{9}{2}$$

Since \frac{2}{5} and \frac{15}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2-15}{5}+\frac{9}{2}$$

Subtract 15 from 2 to get -13.

$$-\frac{13}{5}+\frac{9}{2}$$

Least common multiple of 5 and 2 is 10. Convert -\frac{13}{5} and \frac{9}{2} to fractions with denominator 10.

$$-\frac{26}{10}+\frac{45}{10}$$

Since -\frac{26}{10} and \frac{45}{10} have the same denominator, add them by adding their numerators.

$$\frac{-26+45}{10}$$

Add -26 and 45 to get 19.

$$\frac{19}{10}$$

Factor

$$\frac{19}{2 \cdot 5} = 1\frac{9}{10} = 1.9$$