Solve 5/9-9/8-3/4

$$\frac { 5 } { 9 } - \frac { 9 } { 8 } - \frac { 3 } { 4 }$$

Evaluate

$$-\frac{95}{72}\approx -1.319444444$$

Solution Steps

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

$$\frac{40}{72}-\frac{81}{72}-\frac{3}{4}$$

Since \frac{40}{72} and \frac{81}{72} have the same denominator, subtract them by subtracting their numerators.

$$\frac{40-81}{72}-\frac{3}{4}$$

Subtract 81 from 40 to get -41.

$$-\frac{41}{72}-\frac{3}{4}$$

Least common multiple of 72 and 4 is 72. Convert -\frac{41}{72} and \frac{3}{4} to fractions with denominator 72.

$$-\frac{41}{72}-\frac{54}{72}$$

Since -\frac{41}{72} and \frac{54}{72} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-41-54}{72}$$

Subtract 54 from -41 to get -95.

$$-\frac{95}{72}$$

Factor

$$-\frac{95}{72} = -1\frac{23}{72} = -1.3194444444444444$$