Solve 11111(0.8divcos(6.7))

$$11111(0.8 \div \cos ( 6.7) )$$

Evaluate

$$\frac{88888000000000000000}{9931706495384861}\approx 8949.922155$$

Solution Steps

Evaluate trigonometric functions in the problem

$$11111 {(0.8 / 0.9931706495384861)}$$

Expand \frac{0.8}{0.9931706495384861} by multiplying both numerator and the denominator by 10000000000000000.

$$11111\times \frac{8000000000000000}{9931706495384861}$$

Express 11111\times \frac{8000000000000000}{9931706495384861} as a single fraction.

$$\frac{11111\times 8000000000000000}{9931706495384861}$$

Multiply 11111 and 8000000000000000 to get 88888000000000000000.

$$\frac{88888000000000000000}{9931706495384861}$$

Factor

$$\frac{41 \cdot 271 \cdot 2 ^ {18} \cdot 5 ^ {15}}{11 \cdot 821 \cdot 827 \cdot 5779 \cdot 230107} = 8949\frac{9158572800887860}{9931706495384860} = 8949.922154999762$$