Solve -1/5--7/15=

$$\frac { - 1 } { 5 } - \frac { - 7 } { 15 } =$$

Evaluate

$$\frac{4}{15}\approx 0.266666667$$

Solution Steps

Fraction \frac{-1}{5} can be rewritten as -\frac{1}{5} by extracting the negative sign.

$$-\frac{1}{5}-\frac{-7}{15}$$

Fraction \frac{-7}{15} can be rewritten as -\frac{7}{15} by extracting the negative sign.

$$-\frac{1}{5}-\left(-\frac{7}{15}\right)$$

The opposite of -\frac{7}{15} is \frac{7}{15}.

$$-\frac{1}{5}+\frac{7}{15}$$

Least common multiple of 5 and 15 is 15. Convert -\frac{1}{5} and \frac{7}{15} to fractions with denominator 15.

$$-\frac{3}{15}+\frac{7}{15}$$

Since -\frac{3}{15} and \frac{7}{15} have the same denominator, add them by adding their numerators.

$$\frac{-3+7}{15}$$

Add -3 and 7 to get 4.

$$\frac{4}{15}$$

Factor

$$\frac{2 ^ {2}}{3 \cdot 5} = 0.26666666666666666$$