Solve 0.12*{1-(-2/3)^2}

$$0.12 \times \{ 1 - ( - \frac { 2 } { 3 } ) ^ { 2 } \}$$

Evaluate

$$\frac{1}{15}\approx 0.066666667$$

Solution Steps

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

$$0.12\left(1-\frac{4}{9}\right)$$

Convert 1 to fraction \frac{9}{9}.

$$0.12\left(\frac{9}{9}-\frac{4}{9}\right)$$

Since \frac{9}{9} and \frac{4}{9} have the same denominator, subtract them by subtracting their numerators.

$$0.12\times \frac{9-4}{9}$$

Subtract 4 from 9 to get 5.

$$0.12\times \frac{5}{9}$$

Convert decimal number 0.12 to fraction \frac{12}{100}. Reduce the fraction \frac{12}{100} to lowest terms by extracting and canceling out 4.

$$\frac{3}{25}\times \frac{5}{9}$$

Multiply \frac{3}{25} times \frac{5}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 5}{25\times 9}$$

Do the multiplications in the fraction \frac{3\times 5}{25\times 9}.

$$\frac{15}{225}$$

Reduce the fraction \frac{15}{225} to lowest terms by extracting and canceling out 15.

$$\frac{1}{15}$$

Factor

$$\frac{1}{3 \cdot 5} = 0.06666666666666667$$