To determine which equation is true, we can simplify each fraction or compare them directly.
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3/4 = 9/16
- Cross-multiplying gives: \(3 \times 16 = 48\) and \(4 \times 9 = 36\).
- Since \(48 \neq 36\), this equation is false.
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6/8 = 4/3
- Simplifying \(6/8\) gives \(3/4\).
- Comparing \(3/4\) and \(4/3\), we can see they are not equal.
- Thus, this equation is false.
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3/5 = 8/10
- Simplifying \(8/10\) gives \(4/5\).
- Since \(3/5\) is not equal to \(4/5\), this equation is false.
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12/16 = 36/48
- Simplifying \(12/16\) gives \(3/4\).
- Simplifying \(36/48\) gives \(3/4\) as well.
- Therefore, \(12/16 = 36/48\) is true.
Thus, the true equation is: 12/16 = 36/48.
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