Solve 5/6+(-13)/21

$$\frac { 5 } { 6 } + \frac { ( - 13 ) } { 21 }$$

Evaluate

$$\frac{3}{14}\approx 0.214285714$$

Solution Steps

Fraction \frac{-13}{21} can be rewritten as -\frac{13}{21} by extracting the negative sign.

$$\frac{5}{6}-\frac{13}{21}$$

Least common multiple of 6 and 21 is 42. Convert \frac{5}{6} and \frac{13}{21} to fractions with denominator 42.

$$\frac{35}{42}-\frac{26}{42}$$

Since \frac{35}{42} and \frac{26}{42} have the same denominator, subtract them by subtracting their numerators.

$$\frac{35-26}{42}$$

Subtract 26 from 35 to get 9.

$$\frac{9}{42}$$

Reduce the fraction \frac{9}{42} to lowest terms by extracting and canceling out 3.

$$\frac{3}{14}$$

Factor

$$\frac{3}{2 \cdot 7} = 0.21428571428571427$$