Solve 0.15=13.800*x*53/365

$$0.15=13.800 \times x \times \frac{ 53 }{ 365 }$$

Solve for x

$$x=\frac{365}{4876}\approx 0.07485644$$

Steps for Solving Linear Equation

Convert decimal number 13.8 to fraction \frac{138}{10}. Reduce the fraction \frac{138}{10} to lowest terms by extracting and canceling out 2.

$$0.15=\frac{69}{5}x\times \frac{53}{365}$$

Multiply \frac{69}{5} times \frac{53}{365} by multiplying numerator times numerator and denominator times denominator.

$$0.15=\frac{69\times 53}{5\times 365}x$$

Do the multiplications in the fraction \frac{69\times 53}{5\times 365}.

$$0.15=\frac{3657}{1825}x$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{3657}{1825}x=0.15$$

Multiply both sides by \frac{1825}{3657}, the reciprocal of \frac{3657}{1825}.

$$x=0.15\times \frac{1825}{3657}$$

Convert decimal number 0.15 to fraction \frac{15}{100}. Reduce the fraction \frac{15}{100} to lowest terms by extracting and canceling out 5.

$$x=\frac{3}{20}\times \frac{1825}{3657}$$

Multiply \frac{3}{20} times \frac{1825}{3657} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{3\times 1825}{20\times 3657}$$

Do the multiplications in the fraction \frac{3\times 1825}{20\times 3657}.

$$x=\frac{5475}{73140}$$

Reduce the fraction \frac{5475}{73140} to lowest terms by extracting and canceling out 15.

$$x=\frac{365}{4876}$$