Solve 5*135^2div4*tan(36)

$$5 \times { 135 }^{ 2 } \div 4 \times \tan ( 36 )$$

Evaluate

$$16551.546966122125725$$

Solution Steps

Evaluate trigonometric functions in the problem

$$5 \cdot {(135)} ^ {2} / 4 \cdot 0.7265425280053608$$

Calculate 135 to the power of 2 and get 18225.

$$\frac{5\times 18225}{4}\times 0.7265425280053608$$

Multiply 5 and 18225 to get 91125.

$$\frac{91125}{4}\times 0.7265425280053608$$

Convert decimal number 0.7265425280053608 to fraction \frac{908178160006701}{10000000000}. Reduce the fraction \frac{908178160006701}{10000000000} to lowest terms by extracting and canceling out 1.

$$\frac{91125}{4}\times \frac{908178160006701}{1250000000000000}$$

Multiply \frac{91125}{4} times \frac{908178160006701}{1250000000000000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{91125\times 908178160006701}{4\times 1250000000000000}$$

Do the multiplications in the fraction \frac{91125\times 908178160006701}{4\times 1250000000000000}.

$$\frac{82757734830610628625}{5000000000000000}$$

Reduce the fraction \frac{82757734830610628625}{5000000000000000} to lowest terms by extracting and canceling out 125.

$$\frac{662061878644885029}{40000000000000}$$

Factor

$$\frac{100908684445189 \cdot 3 ^ {8}}{2 ^ {15} \cdot 5 ^ {13}} = 16551\frac{21878644884992}{40000000000000} = 16551.546966122125$$