Solve 5/9-11/3

$$\frac{ 5 }{ 9 } -1 \frac{ 1 }{ 3 }$$

Evaluate

$$-\frac{7}{9}\approx -0.777777778$$

Solution Steps

Multiply 1 and 3 to get 3.

$$\frac{5}{9}-\frac{3+1}{3}$$

Add 3 and 1 to get 4.

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

Least common multiple of 9 and 3 is 9. Convert \frac{5}{9} and \frac{4}{3} to fractions with denominator 9.

$$\frac{5}{9}-\frac{12}{9}$$

Since \frac{5}{9} and \frac{12}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-12}{9}$$

Subtract 12 from 5 to get -7.

$$-\frac{7}{9}$$

Factor

$$-\frac{7}{9} = -0.7777777777777778$$