Solve -6/25-2/5+4/5

$$\frac { - 6 } { 25 } - \frac { 2 } { 5 } + \frac { 4 } { 5 }$$

Evaluate

$$\frac{4}{25}=0.16$$

Solution Steps

Fraction \frac{-6}{25} can be rewritten as -\frac{6}{25} by extracting the negative sign.

$$-\frac{6}{25}-\frac{2}{5}+\frac{4}{5}$$

Least common multiple of 25 and 5 is 25. Convert -\frac{6}{25} and \frac{2}{5} to fractions with denominator 25.

$$-\frac{6}{25}-\frac{10}{25}+\frac{4}{5}$$

Since -\frac{6}{25} and \frac{10}{25} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-6-10}{25}+\frac{4}{5}$$

Subtract 10 from -6 to get -16.

$$-\frac{16}{25}+\frac{4}{5}$$

Least common multiple of 25 and 5 is 25. Convert -\frac{16}{25} and \frac{4}{5} to fractions with denominator 25.

$$-\frac{16}{25}+\frac{20}{25}$$

Since -\frac{16}{25} and \frac{20}{25} have the same denominator, add them by adding their numerators.

$$\frac{-16+20}{25}$$

Add -16 and 20 to get 4.

$$\frac{4}{25}$$

Factor

$$\frac{2 ^ {2}}{5 ^ {2}} = 0.16$$