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Complete the following equivalent fracti...

Complete the following equivalent fractions:
`65/(104)=square/(8)`

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To solve the problem of finding the equivalent fraction for \( \frac{65}{104} = \frac{x}{8} \), we will follow these steps: ### Step 1: Set up the equation We start with the equation given in the problem: \[ \frac{65}{104} = \frac{x}{8} \] ### Step 2: Cross multiply To eliminate the fractions, we will cross multiply: \[ 65 \times 8 = 104 \times x \] ### Step 3: Calculate \( 65 \times 8 \) Now, we calculate \( 65 \times 8 \): \[ 65 \times 8 = 520 \] So, we have: \[ 520 = 104 \times x \] ### Step 4: Solve for \( x \) Next, we need to isolate \( x \) by dividing both sides by 104: \[ x = \frac{520}{104} \] ### Step 5: Simplify \( \frac{520}{104} \) Now, we simplify \( \frac{520}{104} \): \[ 520 \div 104 = 5 \] So, we find: \[ x = 5 \] ### Conclusion Thus, the equivalent fraction is: \[ \frac{65}{104} = \frac{5}{8} \]
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