Solve 1.5/2.5tan(5)

$$\frac{ 1.5 }{ 2.5 \tan ( 5 ) }$$

Evaluate

$$\frac{20000000000000000}{2916288784197467}\approx 6.858031382$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{1.5}{2.5 \cdot 0.08748866352592401}$$

Multiply 2.5 and 0.08748866352592401 to get 0.218721658814810025.

$$\frac{1.5}{0.218721658814810025}$$

Expand \frac{1.5}{0.218721658814810025} by multiplying both numerator and the denominator by 1000000000000000000.

$$\frac{1500000000000000000}{218721658814810025}$$

Reduce the fraction \frac{1500000000000000000}{218721658814810025} to lowest terms by extracting and canceling out 75.

$$\frac{20000000000000000}{2916288784197467}$$

Factor

$$\frac{2 ^ {17} \cdot 5 ^ {16}}{2999 \cdot 40151 \cdot 494267 \cdot 7 ^ {2}} = 6\frac{2502267294815198}{2916288784197467} = 6.858031381656805$$