To solve the expression
\[ \frac{1.487^3 - 1}{1.487^3 + 1} \]
we can first simplify it by letting \( x = 1.487^3 \). Then the expression becomes:
\[ \frac{x - 1}{x + 1} \]
Now we can leave it in this form or substitute back for \( x \). Let's first consider how to evaluate this expression.
Calculate \( x \):
\[ x = 1.487^3 \]
Calculating \( 1.487^3 \):
\[ 1.487^3 \approx 3.273 \]
Now substitute \( 3.273 \) back into the expression:
\[ \frac{3.273 - 1}{3.273 + 1} = \frac{2.273}{4.273} \]
Next, we calculate \( \frac{2.273}{4.273} \):
\[ \frac{2.273}{4.273} \approx 0.532 \]
So the final value of the expression
\[ \frac{1.487^3 - 1}{1.487^3 + 1} \approx 0.532 \]
This value is the simplified result of the provided expression.