Solve 4/9+4/5(2/3)^2

$$\frac { 4 } { 9 } + \frac { 4 } { 5 } ( \frac { 2 } { 3 } ) ^ { 2 }$$

Evaluate

$$\frac{4}{5}=0.8$$

Solution Steps

Calculate \frac{2}{3} to the power of 2 and get \frac{4}{9}.

$$\frac{4}{9}+\frac{4}{5}\times \frac{4}{9}$$

Multiply \frac{4}{5} times \frac{4}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4}{9}+\frac{4\times 4}{5\times 9}$$

Do the multiplications in the fraction \frac{4\times 4}{5\times 9}.

$$\frac{4}{9}+\frac{16}{45}$$

Least common multiple of 9 and 45 is 45. Convert \frac{4}{9} and \frac{16}{45} to fractions with denominator 45.

$$\frac{20}{45}+\frac{16}{45}$$

Since \frac{20}{45} and \frac{16}{45} have the same denominator, add them by adding their numerators.

$$\frac{20+16}{45}$$

Add 20 and 16 to get 36.

$$\frac{36}{45}$$

Reduce the fraction \frac{36}{45} to lowest terms by extracting and canceling out 9.

$$\frac{4}{5}$$

Factor

$$\frac{2 ^ {2}}{5} = 0.8$$