Solve 2*0.253*18.4*cos(26^circ)/0.06

$$\frac { 2 \times 0.253 \times 18.4 \times \cos ( 26 ^ { \circ } ) } { 0.06 }$$

Evaluate

$$\frac{5230082555414852773}{37500000000000000}\approx 139.468868144$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{2 \cdot 0.253 \cdot 18.4 \cdot 0.898794046299167}{0.06}$$

Multiply 2 and 0.253 to get 0.506.

$$\frac{0.506\times 18.4\times 0.898794046299167}{0.06}$$

Multiply 0.506 and 18.4 to get 9.3104.

$$\frac{9.3104\times 0.898794046299167}{0.06}$$

Multiply 9.3104 and 0.898794046299167 to get 8.3681320886637644368.

$$\frac{8.3681320886637644368}{0.06}$$

Expand \frac{8.3681320886637644368}{0.06} by multiplying both numerator and the denominator by 10000000000000000000.

$$\frac{83681320886637644368}{600000000000000000}$$

Reduce the fraction \frac{83681320886637644368}{600000000000000000} to lowest terms by extracting and canceling out 16.

$$\frac{5230082555414852773}{37500000000000000}$$

Factor

$$\frac{11 \cdot 829 \cdot 4447 \cdot 243802709 \cdot 23 ^ {2}}{3 \cdot 2 ^ {14} \cdot 5 ^ {17}} = 139\frac{17582555414852608}{37500000000000000} = 139.46886814439608$$