Solve x*0.5/100.7=0.3

$$\frac{ x \cdot 0.5 }{ 10 } 0.7=0.3$$

Solve for x

$$x = \frac{60}{7} = 8\frac{4}{7} \approx 8.571428571$$

Steps for Solving Linear Equation

Divide both sides by 0.7.

$$\frac{x\times 0.5}{10}=\frac{0.3}{0.7}$$

Expand \frac{0.3}{0.7} by multiplying both numerator and the denominator by 10.

$$\frac{x\times 0.5}{10}=\frac{3}{7}$$

Multiply both sides by 10.

$$x\times 0.5=\frac{3}{7}\times 10$$

Express \frac{3}{7}\times 10 as a single fraction.

$$x\times 0.5=\frac{3\times 10}{7}$$

Multiply 3 and 10 to get 30.

$$x\times 0.5=\frac{30}{7}$$

Divide both sides by 0.5.

$$x=\frac{\frac{30}{7}}{0.5}$$

Express \frac{\frac{30}{7}}{0.5} as a single fraction.

$$x=\frac{30}{7\times 0.5}$$

Multiply 7 and 0.5 to get 3.5.

$$x=\frac{30}{3.5}$$

Expand \frac{30}{3.5} by multiplying both numerator and the denominator by 10.

$$x=\frac{300}{35}$$

Reduce the fraction \frac{300}{35} to lowest terms by extracting and canceling out 5.

$$x=\frac{60}{7}$$