Solve 1/2*0.8*(1*2+1)

$$\frac { 1 } { 2 } \times 0.8 \times ( 1 \cdot 2 + 1 )$$

Evaluate

$$1.2$$

Solution Steps

Convert decimal number 0.8 to fraction \frac{8}{10}. Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1}{2}\times \frac{4}{5}\left(1\times 2+1\right)$$

Multiply \frac{1}{2} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 4}{2\times 5}\left(1\times 2+1\right)$$

Do the multiplications in the fraction \frac{1\times 4}{2\times 5}.

$$\frac{4}{10}\left(1\times 2+1\right)$$

Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$\frac{2}{5}\left(1\times 2+1\right)$$

Multiply 1 and 2 to get 2.

$$\frac{2}{5}\left(2+1\right)$$

Add 2 and 1 to get 3.

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

Express \frac{2}{5}\times 3 as a single fraction.

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

Multiply 2 and 3 to get 6.

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

Factor

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