Solve 2*x/20*15/1000=5*0.0200*13.5/1000

$$2 \times \frac{ x }{ 20 } \times \frac{ 15 }{ 1000 } =5 \times 0.0200 \times \frac{ 13.5 }{ 1000 }$$

Solve for x

$$x=0.9$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 1000, the least common multiple of 20,1000.

$$100x\times \frac{15}{1000}=5\times 0.02\times 13.5$$

Reduce the fraction \frac{15}{1000} to lowest terms by extracting and canceling out 5.

$$100x\times \frac{3}{200}=5\times 0.02\times 13.5$$

Express 100\times \frac{3}{200} as a single fraction.

$$\frac{100\times 3}{200}x=5\times 0.02\times 13.5$$

Multiply 100 and 3 to get 300.

$$\frac{300}{200}x=5\times 0.02\times 13.5$$

Reduce the fraction \frac{300}{200} to lowest terms by extracting and canceling out 100.

$$\frac{3}{2}x=5\times 0.02\times 13.5$$

Multiply 5 and 0.02 to get 0.1.

$$\frac{3}{2}x=0.1\times 13.5$$

Multiply 0.1 and 13.5 to get 1.35.

$$\frac{3}{2}x=1.35$$

Multiply both sides by \frac{2}{3}, the reciprocal of \frac{3}{2}.

$$x=1.35\times \frac{2}{3}$$

Convert decimal number 1.35 to fraction \frac{135}{100}. Reduce the fraction \frac{135}{100} to lowest terms by extracting and canceling out 5.

$$x=\frac{27}{20}\times \frac{2}{3}$$

Multiply \frac{27}{20} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{27\times 2}{20\times 3}$$

Do the multiplications in the fraction \frac{27\times 2}{20\times 3}.

$$x=\frac{54}{60}$$

Reduce the fraction \frac{54}{60} to lowest terms by extracting and canceling out 6.

$$x=\frac{9}{10}$$