Solve 1/2*3.2+5.6*0.5+1.2x

$$\frac { 1 } { 2 } \times 3.2 + 5.6 \times 0.5 + 1.2 x$$

Evaluate

$$\frac{6x+22}{5}$$

Solution Steps

Convert decimal number 3.2 to fraction \frac{32}{10}. Reduce the fraction \frac{32}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1}{2}\times \frac{16}{5}+5.6\times 0.5+1.2x$$

Multiply \frac{1}{2} times \frac{16}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 16}{2\times 5}+5.6\times 0.5+1.2x$$

Do the multiplications in the fraction \frac{1\times 16}{2\times 5}.

$$\frac{16}{10}+5.6\times 0.5+1.2x$$

Reduce the fraction \frac{16}{10} to lowest terms by extracting and canceling out 2.

$$\frac{8}{5}+5.6\times 0.5+1.2x$$

Multiply 5.6 and 0.5 to get 2.8.

$$\frac{8}{5}+2.8+1.2x$$

Convert decimal number 2.8 to fraction \frac{28}{10}. Reduce the fraction \frac{28}{10} to lowest terms by extracting and canceling out 2.

$$\frac{8}{5}+\frac{14}{5}+1.2x$$

Since \frac{8}{5} and \frac{14}{5} have the same denominator, add them by adding their numerators.

$$\frac{8+14}{5}+1.2x$$

Add 8 and 14 to get 22.

$$\frac{22}{5}+1.2x$$

Factor

$$\frac{2\left(3x+11\right)}{5}$$