Solve -2/5-(-10)/6--2/5

$$\frac { - 2 } { 5 } - \frac { ( - 10 ) } { 6 } - \frac { - 2 } { 5 }$$

Evaluate

$$\frac{5}{3}\approx 1.666666667$$

Solution Steps

Fraction \frac{-2}{5} can be rewritten as -\frac{2}{5} by extracting the negative sign.

$$-\frac{2}{5}-\frac{-10}{6}-\frac{-2}{5}$$

Reduce the fraction \frac{-10}{6} to lowest terms by extracting and canceling out 2.

$$-\frac{2}{5}-\left(-\frac{5}{3}\right)-\frac{-2}{5}$$

The opposite of -\frac{5}{3} is \frac{5}{3}.

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

Least common multiple of 5 and 3 is 15. Convert -\frac{2}{5} and \frac{5}{3} to fractions with denominator 15.

$$-\frac{6}{15}+\frac{25}{15}-\frac{-2}{5}$$

Since -\frac{6}{15} and \frac{25}{15} have the same denominator, add them by adding their numerators.

$$\frac{-6+25}{15}-\frac{-2}{5}$$

Add -6 and 25 to get 19.

$$\frac{19}{15}-\frac{-2}{5}$$

Fraction \frac{-2}{5} can be rewritten as -\frac{2}{5} by extracting the negative sign.

$$\frac{19}{15}-\left(-\frac{2}{5}\right)$$

The opposite of -\frac{2}{5} is \frac{2}{5}.

$$\frac{19}{15}+\frac{2}{5}$$

Least common multiple of 15 and 5 is 15. Convert \frac{19}{15} and \frac{2}{5} to fractions with denominator 15.

$$\frac{19}{15}+\frac{6}{15}$$

Since \frac{19}{15} and \frac{6}{15} have the same denominator, add them by adding their numerators.

$$\frac{19+6}{15}$$

Add 19 and 6 to get 25.

$$\frac{25}{15}$$

Reduce the fraction \frac{25}{15} to lowest terms by extracting and canceling out 5.

$$\frac{5}{3}$$

Factor

$$\frac{5}{3} = 1\frac{2}{3} = 1.6666666666666667$$