Solve 2(4+2/3)/9

$$\frac { 2 ( 4 + \frac { 2 } { 3 } ) } { 9 }$$

Evaluate

$$\frac{28}{27}\approx 1.037037037$$

Solution Steps

Convert 4 to fraction \frac{12}{3}.

$$\frac{2\left(\frac{12}{3}+\frac{2}{3}\right)}{9}$$

Since \frac{12}{3} and \frac{2}{3} have the same denominator, add them by adding their numerators.

$$\frac{2\times \frac{12+2}{3}}{9}$$

Add 12 and 2 to get 14.

$$\frac{2\times \frac{14}{3}}{9}$$

Express 2\times \frac{14}{3} as a single fraction.

$$\frac{\frac{2\times 14}{3}}{9}$$

Multiply 2 and 14 to get 28.

$$\frac{\frac{28}{3}}{9}$$

Express \frac{\frac{28}{3}}{9} as a single fraction.

$$\frac{28}{3\times 9}$$

Multiply 3 and 9 to get 27.

$$\frac{28}{27}$$

Factor

$$\frac{2 ^ {2} \cdot 7}{3 ^ {3}} = 1\frac{1}{27} = 1.037037037037037$$