Solve 1/2(0.6)2^2

$$\frac{ 1 }{ 2 } (0.6) { 2 }^{ 2 }$$

Evaluate

$$1.2$$

Solution Steps

Convert decimal number 0.6 to fraction \frac{6}{10}. Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1}{2}\times \frac{3}{5}\times 2^{2}$$

Multiply \frac{1}{2} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 3}{2\times 5}\times 2^{2}$$

Do the multiplications in the fraction \frac{1\times 3}{2\times 5}.

$$\frac{3}{10}\times 2^{2}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{3}{10}\times 4$$

Express \frac{3}{10}\times 4 as a single fraction.

$$\frac{3\times 4}{10}$$

Multiply 3 and 4 to get 12.

$$\frac{12}{10}$$

Reduce the fraction \frac{12}{10} to lowest terms by extracting and canceling out 2.

$$\frac{6}{5}$$

Factor

$$\frac{2 \cdot 3}{5} = 1\frac{1}{5} = 1.2$$