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Complete the following equivalent fracti...

Complete the following equivalent fractions:
`1/(6)=square/(18)`

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The correct Answer is:
To solve the problem of finding the equivalent fraction for \( \frac{1}{6} = \frac{x}{18} \), we can follow these steps: ### Step-by-Step Solution: 1. **Set up the equation**: We start with the given fractions: \[ \frac{1}{6} = \frac{x}{18} \] 2. **Cross-multiply**: To eliminate the fractions, we can cross-multiply: \[ 1 \times 18 = 6 \times x \] This simplifies to: \[ 18 = 6x \] 3. **Solve for \( x \)**: To find \( x \), we need to isolate it. We do this by dividing both sides of the equation by 6: \[ x = \frac{18}{6} \] 4. **Calculate the value**: Now, we perform the division: \[ x = 3 \] 5. **Write the final answer**: Therefore, the equivalent fraction is: \[ \frac{1}{6} = \frac{3}{18} \] ### Final Answer: The value of the box is \( 3 \). ---
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