Solve .5*40/100+2/3*x/100

$$.5 \times \frac { 40 } { 100 } + \frac { 2 } { 3 } \times \frac { x } { 100 }$$

Evaluate

$$\frac{x}{150}+0.2$$

Solution Steps

Reduce the fraction \frac{40}{100} to lowest terms by extracting and canceling out 20.

$$0.5\times \frac{2}{5}+\frac{2}{3}\times \frac{x}{100}$$

Convert decimal number 0.5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{1}{2}\times \frac{2}{5}+\frac{2}{3}\times \frac{x}{100}$$

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

$$\frac{1\times 2}{2\times 5}+\frac{2}{3}\times \frac{x}{100}$$

Cancel out 2 in both numerator and denominator.

$$\frac{1}{5}+\frac{2}{3}\times \frac{x}{100}$$

Multiply \frac{2}{3} times \frac{x}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{5}+\frac{2x}{3\times 100}$$

Cancel out 2 in both numerator and denominator.

$$\frac{1}{5}+\frac{x}{3\times 50}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 5 and 3\times 50 is 150. Multiply \frac{1}{5} times \frac{30}{30}.

$$\frac{30}{150}+\frac{x}{150}$$

Since \frac{30}{150} and \frac{x}{150} have the same denominator, add them by adding their numerators.

$$\frac{30+x}{150}$$

Factor

$$\frac{x+30}{150}$$