Solve 65*9.8*41div3.6*sin11^circ=P

$$65 \times 9.8 \times 41 \div 3.6 \times \sin 11 ^ { \circ } = P$$

Solve for P

$$P = \frac{6229198165311525677}{4500000000000000} = 1384\frac{1198165311525888}{4500000000000000} \approx 1384.266258958$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$65 \cdot 9.8 \cdot 41 / 3.6 \cdot 0.1908089953765448 = P$$

Multiply 65 and 9.8 to get 637.

$$\frac{637\times 41}{3.6}\times 0.1908089953765448=P$$

Multiply 637 and 41 to get 26117.

$$\frac{26117}{3.6}\times 0.1908089953765448=P$$

Expand \frac{26117}{3.6} by multiplying both numerator and the denominator by 10.

$$\frac{261170}{36}\times 0.1908089953765448=P$$

Reduce the fraction \frac{261170}{36} to lowest terms by extracting and canceling out 2.

$$\frac{130585}{18}\times 0.1908089953765448=P$$

Convert decimal number 0.1908089953765448 to fraction \frac{238511244220681}{10000000000}. Reduce the fraction \frac{238511244220681}{10000000000} to lowest terms by extracting and canceling out 1.

$$\frac{130585}{18}\times \frac{238511244220681}{1250000000000000}=P$$

Multiply \frac{130585}{18} times \frac{238511244220681}{1250000000000000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{130585\times 238511244220681}{18\times 1250000000000000}=P$$

Do the multiplications in the fraction \frac{130585\times 238511244220681}{18\times 1250000000000000}.

$$\frac{31145990826557628385}{22500000000000000}=P$$

Reduce the fraction \frac{31145990826557628385}{22500000000000000} to lowest terms by extracting and canceling out 5.

$$\frac{6229198165311525677}{4500000000000000}=P$$

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

$$P=\frac{6229198165311525677}{4500000000000000}$$