Solve: $$ \frac{d}{d-4}=\frac{20}{11} $$ Note: Enter the answer as a fraction.

Question

UpStudy AI · Accepted Answer

We start with the equation

$$
\frac{d}{d-4}=\frac{20}{11}.
$$

**Step 1:** Cross multiply to eliminate the fractions:

$$
11d = 20(d-4).
$$

**Step 2:** Distribute the $$20$$ on the right-hand side:

$$
11d = 20d - 80.
$$

**Step 3:** Rearrange the equation by subtracting $$20d$$ from both sides:

$$
11d - 20d = -80.
$$

This simplifies to:

$$
-9d = -80.
$$

**Step 4:** Divide both sides by $$-9$$ to solve for $$d$$:

$$
d = \frac{-80}{-9} = \frac{80}{9}.
$$

Thus, the solution is

$$
\boxed{\frac{80}{9}}.
$$
$$ d = \frac{80}{9} $$

Solve: \( \frac{d}{d-4}=\frac{20}{11} \) Note: Enter the answer as a fraction.