Solve (52/3-2/9)3

$$( 5 \frac { 2 } { 3 } - \frac { 2 } { 9 } ) 3$$

Evaluate

$$\frac{49}{3}\approx 16.333333333$$

Solution Steps

Multiply 5 and 3 to get 15.

$$\left(\frac{15+2}{3}-\frac{2}{9}\right)\times 3$$

Add 15 and 2 to get 17.

$$\left(\frac{17}{3}-\frac{2}{9}\right)\times 3$$

Least common multiple of 3 and 9 is 9. Convert \frac{17}{3} and \frac{2}{9} to fractions with denominator 9.

$$\left(\frac{51}{9}-\frac{2}{9}\right)\times 3$$

Since \frac{51}{9} and \frac{2}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{51-2}{9}\times 3$$

Subtract 2 from 51 to get 49.

$$\frac{49}{9}\times 3$$

Express \frac{49}{9}\times 3 as a single fraction.

$$\frac{49\times 3}{9}$$

Multiply 49 and 3 to get 147.

$$\frac{147}{9}$$

Reduce the fraction \frac{147}{9} to lowest terms by extracting and canceling out 3.

$$\frac{49}{3}$$

Factor

$$\frac{7 ^ {2}}{3} = 16\frac{1}{3} = 16.333333333333332$$