Solve 7/8-5/9-9/6

$$\frac{ 7 }{ 8 } - \frac{ 5 }{ 9 } - \frac{ 9 }{ 6 }$$

Evaluate

$$-\frac{85}{72}\approx -1.180555556$$

Solution Steps

Least common multiple of 8 and 9 is 72. Convert \frac{7}{8} and \frac{5}{9} to fractions with denominator 72.

$$\frac{63}{72}-\frac{40}{72}-\frac{9}{6}$$

Since \frac{63}{72} and \frac{40}{72} have the same denominator, subtract them by subtracting their numerators.

$$\frac{63-40}{72}-\frac{9}{6}$$

Subtract 40 from 63 to get 23.

$$\frac{23}{72}-\frac{9}{6}$$

Reduce the fraction \frac{9}{6} to lowest terms by extracting and canceling out 3.

$$\frac{23}{72}-\frac{3}{2}$$

Least common multiple of 72 and 2 is 72. Convert \frac{23}{72} and \frac{3}{2} to fractions with denominator 72.

$$\frac{23}{72}-\frac{108}{72}$$

Since \frac{23}{72} and \frac{108}{72} have the same denominator, subtract them by subtracting their numerators.

$$\frac{23-108}{72}$$

Subtract 108 from 23 to get -85.

$$-\frac{85}{72}$$

Factor

$$-\frac{85}{72} = -1\frac{13}{72} = -1.1805555555555556$$