Solve (2)-2/9-11/3=

$$( 2 ) - \frac { 2 } { 9 } - 1 \frac { 1 } { 3 } =$$

Evaluate

$$\frac{4}{9}\approx 0.444444444$$

Solution Steps

Convert 2 to fraction \frac{18}{9}.

$$\frac{18}{9}-\frac{2}{9}-\frac{1\times 3+1}{3}$$

Since \frac{18}{9} and \frac{2}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{18-2}{9}-\frac{1\times 3+1}{3}$$

Subtract 2 from 18 to get 16.

$$\frac{16}{9}-\frac{1\times 3+1}{3}$$

Multiply 1 and 3 to get 3.

$$\frac{16}{9}-\frac{3+1}{3}$$

Add 3 and 1 to get 4.

$$\frac{16}{9}-\frac{4}{3}$$

Least common multiple of 9 and 3 is 9. Convert \frac{16}{9} and \frac{4}{3} to fractions with denominator 9.

$$\frac{16}{9}-\frac{12}{9}$$

Since \frac{16}{9} and \frac{12}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{16-12}{9}$$

Subtract 12 from 16 to get 4.

$$\frac{4}{9}$$

Factor

$$\frac{2 ^ {2}}{3 ^ {2}} = 0.4444444444444444$$