Solve cos(9.4)/1.81*0.75

$$\frac{ \cos ( 9.4 ) }{ 1.81 \times 0.75 }$$

Evaluate

$$\frac{4932860808034847}{6787500000000000}\approx 0.726756657$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{0.9865721616069694}{1.81 \cdot 0.75}$$

Multiply 1.81 and 0.75 to get 1.3575.

$$\frac{0.9865721616069694}{1.3575}$$

Expand \frac{0.9865721616069694}{1.3575} by multiplying both numerator and the denominator by 10000000000000000.

$$\frac{9865721616069694}{13575000000000000}$$

Reduce the fraction \frac{9865721616069694}{13575000000000000} to lowest terms by extracting and canceling out 2.

$$\frac{4932860808034847}{6787500000000000}$$

Factor

$$\frac{101 \cdot 13687 \cdot 54727 \cdot 65203}{3 \cdot 181 \cdot 2 ^ {11} \cdot 5 ^ {14}} = 0.7267566568007141$$