Solve 5/2*cos53^circ=

$$\frac { 5 } { 2 } \times \cos 53 ^ { \circ } =$$

Evaluate

$$1.504537557880121$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{5}{2} \cdot 0.6018150231520484$$

Convert decimal number 0.6018150231520484 to fraction \frac{1504537557880121}{10000000000}. Reduce the fraction \frac{1504537557880121}{10000000000} to lowest terms by extracting and canceling out 1.

$$\frac{5}{2}\times \frac{1504537557880121}{2500000000000000}$$

Multiply \frac{5}{2} times \frac{1504537557880121}{2500000000000000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 1504537557880121}{2\times 2500000000000000}$$

Do the multiplications in the fraction \frac{5\times 1504537557880121}{2\times 2500000000000000}.

$$\frac{7522687789400605}{5000000000000000}$$

Reduce the fraction \frac{7522687789400605}{5000000000000000} to lowest terms by extracting and canceling out 5.

$$\frac{1504537557880121}{1000000000000000}$$

Factor

$$\frac{251 \cdot 35531 \cdot 168702641}{2 ^ {15} \cdot 5 ^ {15}} = 1\frac{504537557880121}{1000000000000000} = 1.504537557880121$$