Solve 4/3sin(35)

$$\frac{ 4 }{ 3 } \sin ( 35 )$$

Evaluate

$$\frac{286788218175523}{375000000000000}\approx 0.764768582$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{4}{3} 0.573576436351046$$

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.

$$\frac{4}{3}\times \frac{286788218175523}{500000000000000}$$

Multiply \frac{4}{3} times \frac{286788218175523}{500000000000000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 286788218175523}{3\times 500000000000000}$$

Do the multiplications in the fraction \frac{4\times 286788218175523}{3\times 500000000000000}.

$$\frac{1147152872702092}{1500000000000000}$$

Reduce the fraction \frac{1147152872702092}{1500000000000000} to lowest terms by extracting and canceling out 4.

$$\frac{286788218175523}{375000000000000}$$

Factor

$$\frac{421 \cdot 25943 \cdot 26257841}{3 \cdot 2 ^ {12} \cdot 5 ^ {15}} = 0.7647685818013946$$