Solve 525.06/190+10*sin(10)

$$\frac{ 525.06 }{ 190 } +10 \times \sin ( 10 )$$

Evaluate

$$\frac{854991537567167627}{190000000000000000}\approx 4.499955461$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{525.06}{190} + 10 \cdot 0.17364817766693033$$

Expand \frac{525.06}{190} by multiplying both numerator and the denominator by 100.

$$\frac{52506}{19000}+10\times 0.17364817766693033$$

Reduce the fraction \frac{52506}{19000} to lowest terms by extracting and canceling out 2.

$$\frac{26253}{9500}+10\times 0.17364817766693033$$

Multiply 10 and 0.17364817766693033 to get 1.7364817766693033.

$$\frac{26253}{9500}+1.7364817766693033$$

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.

$$\frac{26253}{9500}+\frac{17364817766693033}{10000000000000000}$$

Least common multiple of 9500 and 10000000000000000 is 190000000000000000. Convert \frac{26253}{9500} and \frac{17364817766693033}{10000000000000000} to fractions with denominator 190000000000000000.

$$\frac{525060000000000000}{190000000000000000}+\frac{329931537567167627}{190000000000000000}$$

Since \frac{525060000000000000}{190000000000000000} and \frac{329931537567167627}{190000000000000000} have the same denominator, add them by adding their numerators.

$$\frac{525060000000000000+329931537567167627}{190000000000000000}$$

Add 525060000000000000 and 329931537567167627 to get 854991537567167627.

$$\frac{854991537567167627}{190000000000000000}$$

Factor

$$\frac{11 \cdot 149 \cdot 1277 \cdot 9199 \cdot 44406991}{19 \cdot 2 ^ {16} \cdot 5 ^ {16}} = 4\frac{94991537567167620}{1.9 \times 10^{17}} = 4.499955460879829$$