Solve -5/21+-2/21+8/24

$$\frac { - 5 } { 21 } + \frac { - 2 } { 21 } + \frac { 8 } { 24 }$$

Evaluate

$$0$$

Solution Steps

Fraction \frac{-5}{21} can be rewritten as -\frac{5}{21} by extracting the negative sign.

$$-\frac{5}{21}+\frac{-2}{21}+\frac{8}{24}$$

Fraction \frac{-2}{21} can be rewritten as -\frac{2}{21} by extracting the negative sign.

$$-\frac{5}{21}-\frac{2}{21}+\frac{8}{24}$$

Since -\frac{5}{21} and \frac{2}{21} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-5-2}{21}+\frac{8}{24}$$

Subtract 2 from -5 to get -7.

$$\frac{-7}{21}+\frac{8}{24}$$

Reduce the fraction \frac{-7}{21} to lowest terms by extracting and canceling out 7.

$$-\frac{1}{3}+\frac{8}{24}$$

Reduce the fraction \frac{8}{24} to lowest terms by extracting and canceling out 8.

$$-\frac{1}{3}+\frac{1}{3}$$

Add -\frac{1}{3} and \frac{1}{3} to get 0.

$$0$$

Factor

$$0$$