Solve 53/6+(--5/6)

$$\frac { 53 } { 6 } + ( - \frac { - 5 } { 6 } )$$

Evaluate

$$\frac{29}{3}\approx 9.666666667$$

Solution Steps

Fraction \frac{-5}{6} can be rewritten as -\frac{5}{6} by extracting the negative sign.

$$\frac{53}{6}-\left(-\frac{5}{6}\right)$$

The opposite of -\frac{5}{6} is \frac{5}{6}.

$$\frac{53}{6}+\frac{5}{6}$$

Since \frac{53}{6} and \frac{5}{6} have the same denominator, add them by adding their numerators.

$$\frac{53+5}{6}$$

Add 53 and 5 to get 58.

$$\frac{58}{6}$$

Reduce the fraction \frac{58}{6} to lowest terms by extracting and canceling out 2.

$$\frac{29}{3}$$

Factor

$$\frac{29}{3} = 9\frac{2}{3} = 9.666666666666666$$