Solve 12.74divsin(125)*sin(27)

$$12.74 \div \sin ( 125 ) \times \sin ( 27 )$$

Evaluate

$$\frac{1156767793336365119}{163830408857798400}\approx 7.060763636$$

Solution Steps

Evaluate trigonometric functions in the problem

$$12.74 / 0.819152044288992 \cdot 0.45399049973954675$$

Expand \frac{12.74}{0.819152044288992} by multiplying both numerator and the denominator by 1000000000000000.

$$\frac{12740000000000000}{819152044288992}\times 0.45399049973954675$$

Reduce the fraction \frac{12740000000000000}{819152044288992} to lowest terms by extracting and canceling out 32.

$$\frac{398125000000000}{25598501384031}\times 0.45399049973954675$$

Convert decimal number 0.45399049973954675 to fraction \frac{1815961998958187}{10000000000}. Reduce the fraction \frac{1815961998958187}{10000000000} to lowest terms by extracting and canceling out 1.

$$\frac{398125000000000}{25598501384031}\times \frac{1815961998958187}{4000000000000000}$$

Multiply \frac{398125000000000}{25598501384031} times \frac{1815961998958187}{4000000000000000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{398125000000000\times 1815961998958187}{25598501384031\times 4000000000000000}$$

Do the multiplications in the fraction \frac{398125000000000\times 1815961998958187}{25598501384031\times 4000000000000000}.

$$\frac{722979870835228199375000000000}{102394005536124000000000000000}$$

Reduce the fraction \frac{722979870835228199375000000000}{102394005536124000000000000000} to lowest terms by extracting and canceling out 625000000000.

$$\frac{1156767793336365119}{163830408857798400}$$

Factor

$$\frac{13 \cdot 1815961998958187 \cdot 7 ^ {2}}{79 \cdot 233 \cdot 2039 \cdot 25261 \cdot 2 ^ {8} \cdot 3 ^ {3} \cdot 5 ^ {2}} = 7\frac{9954931331776256}{1.638304088577984 \times 10^{17}} = 7.060763636013489$$