Question
Solve: \( \frac{d}{d-4}=\frac{20}{11} \) Note: Enter the answer as a fraction.
Ask by Sherman Ingram. in the United States
Mar 16,2025
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Answer
\( d = \frac{80}{9} \)
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The Deep Dive
To solve the equation \( \frac{d}{d-4}=\frac{20}{11} \), we can start by cross-multiplying: \[ 11d = 20(d - 4) \] Now, distribute the 20 on the right side: \[ 11d = 20d - 80 \] Next, we can move all the \(d\) terms to one side by subtracting \(20d\) from both sides: \[ 11d - 20d = -80 \] This simplifies to: \[ -9d = -80 \] Now, divide both sides by -9 to isolate \(d\): \[ d = \frac{80}{9} \] Thus, the solution to the equation is: \[ \boxed{\frac{80}{9}} \]