Solve 52506/190+10*sin(10)

$$\frac{ 52506 }{ 190 } +10 \times \sin ( 10 )$$

Evaluate

$$\frac{52835931537567167627}{190000000000000000}\approx 278.083850198$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{52506}{190} + 10 \cdot 0.17364817766693033$$

Reduce the fraction \frac{52506}{190} to lowest terms by extracting and canceling out 2.

$$\frac{26253}{95}+10\times 0.17364817766693033$$

Multiply 10 and 0.17364817766693033 to get 1.7364817766693033.

$$\frac{26253}{95}+1.7364817766693033$$

Convert decimal number 1.7364817766693033 to fraction \frac{17364817766693033}{10000000000}. Reduce the fraction \frac{17364817766693033}{10000000000} to lowest terms by extracting and canceling out 1.

$$\frac{26253}{95}+\frac{17364817766693033}{10000000000000000}$$

Least common multiple of 95 and 10000000000000000 is 190000000000000000. Convert \frac{26253}{95} and \frac{17364817766693033}{10000000000000000} to fractions with denominator 190000000000000000.

$$\frac{52506000000000000000}{190000000000000000}+\frac{329931537567167627}{190000000000000000}$$

Since \frac{52506000000000000000}{190000000000000000} and \frac{329931537567167627}{190000000000000000} have the same denominator, add them by adding their numerators.

$$\frac{52506000000000000000+329931537567167627}{190000000000000000}$$

Add 52506000000000000000 and 329931537567167627 to get 52835931537567167627.

$$\frac{52835931537567167627}{190000000000000000}$$

Factor

$$\frac{11 \cdot 163 \cdot 3691 \cdot 7983715160929}{19 \cdot 2 ^ {16} \cdot 5 ^ {16}} = 278\frac{15931537567170560}{1.9 \times 10^{17}} = 278.083850197722$$