Solve 34.9*sin(53)div28.6

$$34.9 \times \sin ( 53 ) \div 28.6$$

Evaluate

$$\frac{87101185314532871}{89375000000000000}\approx 0.974558717$$

Solution Steps

Evaluate trigonometric functions in the problem

$$34.9 \cdot 0.7986355100472928 / 28.6$$

Multiply 34.9 and 0.7986355100472928 to get 27.87237930065051872.

$$\frac{27.87237930065051872}{28.6}$$

Expand \frac{27.87237930065051872}{28.6} by multiplying both numerator and the denominator by 100000000000000000.

$$\frac{2787237930065051872}{2860000000000000000}$$

Reduce the fraction \frac{2787237930065051872}{2860000000000000000} to lowest terms by extracting and canceling out 32.

$$\frac{87101185314532871}{89375000000000000}$$

Factor

$$\frac{79 \cdot 349 \cdot 3159159454301}{11 \cdot 13 \cdot 2 ^ {12} \cdot 5 ^ {16}} = 0.9745587168059621$$