To determine which fractions are equivalent to \(\frac{9}{8}\) (which is 98 expressed as a fraction), we will convert each response to a fraction and simplify them if necessary.
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\(34\) → This is \(\frac{3}{4}\). Simplifying, we find it's not equal to \(\frac{9}{8}\).
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\(3 4\) → This appears to represent the same as above, which is \(\frac{3}{4}\).
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\(54\) → This is \(\frac{5}{4}\). This one is equivalent to \(\frac{9}{8}\) after multiplying both numerator and denominator by 2. So, \(\frac{5}{4} \div 1 = \frac{10}{8}\), still not equivalent.
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\(5 4\) → This represents \(\frac{5}{4}\) and is already discussed.
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\(1816\) → This is \(\frac{18}{16}\). Simplifying, this reduces to \(\frac{9}{8}\).
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\(18 16\) → This also refers to \(\frac{18}{16}\) and is equivalent to \(\frac{9}{8}\).
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\(1618\) → This is \(\frac{16}{18}\). Simplifying this gives \(\frac{8}{9}\), which is not equivalent to \(\frac{9}{8}\).
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\(16 18\) → Again, this is \(\frac{16}{18}\) which simplifies to \(\frac{8}{9}\).
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\(2724\) → This is \(\frac{27}{24}\). Simplifying gives \(\frac{9}{8}\), so this is equivalent.
Based on the analysis, the fractions equivalent to \(98\) are:
- \(\frac{18}{16}\)
- \(\frac{27}{24}\)
Thus the final responses that are equivalent to 98 are:
- 1816
- 2724
1 answer