Solve (8/9+4/27)*2

$$( \frac { 8 } { 9 } + \frac { 4 } { 27 } ) \times 2$$

Evaluate

$$\frac{56}{27}\approx 2.074074074$$

Solution Steps

Least common multiple of 9 and 27 is 27. Convert \frac{8}{9} and \frac{4}{27} to fractions with denominator 27.

$$\left(\frac{24}{27}+\frac{4}{27}\right)\times 2$$

Since \frac{24}{27} and \frac{4}{27} have the same denominator, add them by adding their numerators.

$$\frac{24+4}{27}\times 2$$

Add 24 and 4 to get 28.

$$\frac{28}{27}\times 2$$

Express \frac{28}{27}\times 2 as a single fraction.

$$\frac{28\times 2}{27}$$

Multiply 28 and 2 to get 56.

$$\frac{56}{27}$$

Factor

$$\frac{2 ^ {3} \cdot 7}{3 ^ {3}} = 2\frac{2}{27} = 2.074074074074074$$