Solve 2215/1316*0.1=n*0.082*297

$$\frac { 2215 } { 1316 } \times 0.1 = n \times 0.082 \times 297$$

Solve for n

$$n=\frac{55375}{8012466}\approx 0.006911106$$

Steps for Solving Linear Equation

Convert decimal number 0.1 to fraction \frac{1}{10}.

$$\frac{2215}{1316}\times \frac{1}{10}=n\times 0.082\times 297$$

Multiply \frac{2215}{1316} times \frac{1}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2215\times 1}{1316\times 10}=n\times 0.082\times 297$$

Do the multiplications in the fraction \frac{2215\times 1}{1316\times 10}.

$$\frac{2215}{13160}=n\times 0.082\times 297$$

Reduce the fraction \frac{2215}{13160} to lowest terms by extracting and canceling out 5.

$$\frac{443}{2632}=n\times 0.082\times 297$$

Multiply 0.082 and 297 to get 24.354.

$$\frac{443}{2632}=n\times 24.354$$

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

$$n\times 24.354=\frac{443}{2632}$$

Divide both sides by 24.354.

$$n=\frac{\frac{443}{2632}}{24.354}$$

Express \frac{\frac{443}{2632}}{24.354} as a single fraction.

$$n=\frac{443}{2632\times 24.354}$$

Multiply 2632 and 24.354 to get 64099.728.

$$n=\frac{443}{64099.728}$$

Expand \frac{443}{64099.728} by multiplying both numerator and the denominator by 1000.

$$n=\frac{443000}{64099728}$$

Reduce the fraction \frac{443000}{64099728} to lowest terms by extracting and canceling out 8.

$$n=\frac{55375}{8012466}$$