Solve 1.599/1.33*sin(25^circ)

$$\frac{ 1.599 }{ 1.33 } \times \sin ( 25 ^ { \circ } )$$

Evaluate

$$\frac{8447082506542230057}{16625000000000000000}\approx 0.508095188$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{1.599}{1.33} \cdot 0.42261826174069944$$

Expand \frac{1.599}{1.33} by multiplying both numerator and the denominator by 1000.

$$\frac{1599}{1330}\times 0.42261826174069944$$

Convert decimal number 0.42261826174069944 to fraction \frac{5282728271758743}{10000000000}. Reduce the fraction \frac{5282728271758743}{10000000000} to lowest terms by extracting and canceling out 1.

$$\frac{1599}{1330}\times \frac{5282728271758743}{12500000000000000}$$

Multiply \frac{1599}{1330} times \frac{5282728271758743}{12500000000000000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1599\times 5282728271758743}{1330\times 12500000000000000}$$

Do the multiplications in the fraction \frac{1599\times 5282728271758743}{1330\times 12500000000000000}.

$$\frac{8447082506542230057}{16625000000000000000}$$

Factor

$$\frac{41 \cdot 101 \cdot 55843 \cdot 24016159 \cdot 3 ^ {2} \cdot 13 ^ {2}}{7 \cdot 19 \cdot 2 ^ {15} \cdot 5 ^ {18}} = 0.5080951883634424$$