To solve this expression, we first need to find the values of tangent of 1.47 and 0.69 using a calculator.

tg 1.47 ≈ 1.416
tg 0.69 ≈ 0.827

Now we substitute these values into the expression:

(1.416 - 0.827) / (1 + 1.416 0.827)
= 0.589 / (1 + 1.416 0.827)
= 0.589 / (1 + 1.171)
= 0.589 / 2.171
≈ 0.271

Therefore, the value of the expression is approximately 0.271.