To compare the ratios \(16:18\) and \(5:6\), we can simplify both ratios and find their decimal values or cross-multiply them.
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Simplifying the ratios:
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For \(16:18\), we can divide both numbers by their greatest common divisor (GCD), which is 2: \[ \frac{16}{2}:\frac{18}{2} = 8:9 \]
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For \(5:6\), there’s no need to simplify further, as it is already in simplest form.
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Finding decimal values:
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The decimal value of \(16:18\) (or \(8:9\)) is: \[ \frac{16}{18} \approx 0.8889 \]
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The decimal value of \(5:6\) is: \[ \frac{5}{6} \approx 0.8333 \]
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Comparison: Since \(0.8889 > 0.8333\), we see that: \[ 16:18 > 5:6 \]
Thus, the ratio \(16:18\) is greater than the ratio \(5:6\).
Final Answer:
16:18 is greater.