Solve x=2*0.563/13*sin(27.5^circ/2)div2

$$x = 2 \times \frac { 0.563 } { 13 } \times \sin ( \frac { 27.5 ^ { \circ } } { 2 } ) \div 2$$

Solve for x

$$x=\frac{1338171573796354553}{130000000000000000000}\approx 0.010293627$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$x = 2 \cdot \frac{0.563}{13} \cdot 0.2376858923261731 / 2$$

Cancel out 2 and 2.

$$x=\frac{0.563}{13}\times 0.2376858923261731$$

Expand \frac{0.563}{13} by multiplying both numerator and the denominator by 1000.

$$x=\frac{563}{13000}\times 0.2376858923261731$$

Convert decimal number 0.2376858923261731 to fraction \frac{2376858923261731}{10000000000}. Reduce the fraction \frac{2376858923261731}{10000000000} to lowest terms by extracting and canceling out 1.

$$x=\frac{563}{13000}\times \frac{2376858923261731}{10000000000000000}$$

Multiply \frac{563}{13000} times \frac{2376858923261731}{10000000000000000} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{563\times 2376858923261731}{13000\times 10000000000000000}$$

Do the multiplications in the fraction \frac{563\times 2376858923261731}{13000\times 10000000000000000}.

$$x=\frac{1338171573796354553}{130000000000000000000}$$

Assign x

$$x≔\frac{1338171573796354553}{130000000000000000000}$$