Solve 2/3sqrt{6}*sin(15^circ)

$$\frac{ 2 }{ 3 } \sqrt{ 6 } \times \sin ( 15 ^ { \circ } )$$

Evaluate

$$\frac{4313650751708679\sqrt{6}}{25000000000000000}\approx 0.422649731$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{2}{3} \sqrt{6} \cdot 0.25881904510252074$$

Convert decimal number 0.25881904510252074 to fraction \frac{12940952255126037}{10000000000}. Reduce the fraction \frac{12940952255126037}{10000000000} to lowest terms by extracting and canceling out 1.

$$\frac{12940952255126037}{50000000000000000}\times \frac{2}{3}\sqrt{6}$$

Multiply \frac{12940952255126037}{50000000000000000} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{12940952255126037\times 2}{50000000000000000\times 3}\sqrt{6}$$

Do the multiplications in the fraction \frac{12940952255126037\times 2}{50000000000000000\times 3}.

$$\frac{25881904510252074}{150000000000000000}\sqrt{6}$$

Reduce the fraction \frac{25881904510252074}{150000000000000000} to lowest terms by extracting and canceling out 6.

$$\frac{4313650751708679}{25000000000000000}\sqrt{6}$$