Solve 1/27*3.146sin(35)

$$\frac{ 1 }{ 2 } 7 \cdot 3.146 \sin ( 35 )$$

Evaluate

$$6.315650140661367506$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{1}{2} 7 \cdot 3.146 \cdot 0.573576436351046$$

Multiply \frac{1}{2} and 7 to get \frac{7}{2}.

$$\frac{7}{2}\times 3.146\times 0.573576436351046$$

Convert decimal number 3.146 to fraction \frac{3146}{1000}. Reduce the fraction \frac{3146}{1000} to lowest terms by extracting and canceling out 2.

$$\frac{7}{2}\times \frac{1573}{500}\times 0.573576436351046$$

Multiply \frac{7}{2} times \frac{1573}{500} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 1573}{2\times 500}\times 0.573576436351046$$

Do the multiplications in the fraction \frac{7\times 1573}{2\times 500}.

$$\frac{11011}{1000}\times 0.573576436351046$$

Convert decimal number 0.573576436351046 to fraction \frac{286788218175523}{10000000000}. Reduce the fraction \frac{286788218175523}{10000000000} to lowest terms by extracting and canceling out 1.

$$\frac{11011}{1000}\times \frac{286788218175523}{500000000000000}$$

Multiply \frac{11011}{1000} times \frac{286788218175523}{500000000000000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11011\times 286788218175523}{1000\times 500000000000000}$$

Do the multiplications in the fraction \frac{11011\times 286788218175523}{1000\times 500000000000000}.

$$\frac{3157825070330683753}{500000000000000000}$$

Factor

$$\frac{7 \cdot 13 \cdot 421 \cdot 25943 \cdot 26257841 \cdot 11 ^ {2}}{2 ^ {17} \cdot 5 ^ {18}} = 6\frac{1.5782507033068338 \times 10^{17}}{5 \times 10^{17}} = 6.315650140661367$$