Compare and order rational numbers written as fractions, decimals, and percents.
Filter a mixed-form set by benchmark conditions
Problem
Identify every value in this set that is greater than \(0.4\) and less than \(50\%\): \(3/8\), \(0.41\), \(47\%\), \(1/2\), \(0.399\), \(44/100\), \(0.5\).
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What this problem is really about
The conditions create an open interval: a value must be strictly above zero point four and strictly below fifty percent. We’ll convert the upper bound and every mixed-form entry to decimals, test both inequalities for each entry, and keep a complete record of the values that pass. Equal endpoints and near misses must be excluded.
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