Solve -1/-9+7/8

$$- \frac { 1 } { - 9 } + \frac { 7 } { 8 }$$

Evaluate

$$\frac{71}{72}\approx 0.986111111$$

Solution Steps

Fraction \frac{1}{-9} can be rewritten as -\frac{1}{9} by extracting the negative sign.

$$-\left(-\frac{1}{9}\right)+\frac{7}{8}$$

The opposite of -\frac{1}{9} is \frac{1}{9}.

$$\frac{1}{9}+\frac{7}{8}$$

Least common multiple of 9 and 8 is 72. Convert \frac{1}{9} and \frac{7}{8} to fractions with denominator 72.

$$\frac{8}{72}+\frac{63}{72}$$

Since \frac{8}{72} and \frac{63}{72} have the same denominator, add them by adding their numerators.

$$\frac{8+63}{72}$$

Add 8 and 63 to get 71.

$$\frac{71}{72}$$

Factor

$$\frac{71}{2 ^ {3} \cdot 3 ^ {2}} = 0.9861111111111112$$