Reducing a fraction's numerator by 25% and its denominator by 20% results in a new fraction of 3/4. Determine the original fraction?
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Answer: E. None of these
Explanation
Reducing the numerator by twenty-five percent leaves seventy-five percent of its original value. Reducing the denominator by twenty percent leaves eighty percent of its original value. Equating the adjusted fraction to three-fourths allows solving for the original fraction terms. Fractional manipulation involves scaling numerators and denominators by specific percentage factors. Algebraic equations help determine unknown initial fractions from modified outcome data. When calculated results do not match standard choices, the none of these option is correct.
Ratio and proportion problems frequently appear in scaling recipes and chemical mixtures. Mathematical modeling of proportional changes is useful in economic and demographic studies. Data verification ensures calculated solutions strictly adhere to given multiple-choice parameters. Option A provides an incorrect fraction that fails the modified percentage test. Option B does not satisfy the algebraic equality when percentage reductions are applied. Option C represents an unrelated ratio that yields incorrect values upon reduction.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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