5/8 * 2(2/5 – 5/4) / 1 1/4 = _________?
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Answer: A. 1/5
Explanation
Converting mixed numbers into improper fractions makes multiplication and division operations much easier to perform. Evaluating the numerator expression according to standard fraction arithmetic rules simplifies the top part. Dividing the simplified numerator by the denominator fraction results in a final reduced value of one-fifth. Fractions represent parts of a whole and follow strict arithmetic rules for combination and reduction. Converting mixed fractions to improper fractions prevents sign and magnitude errors during calculation. Dividing by a fraction is mathematically equivalent to multiplying by its reciprocal inverse value.
Culinary recipes and architectural blueprints frequently require scaling measurements using fractional arithmetic. Precision manufacturing depends on accurate fractional calculations to ensure components fit together correctly. Fluent fraction manipulation is essential for success in higher-level mathematics and standardized tests. Option B overestimates the final fraction by reversing a division step in the denominator. Option C results from an arithmetic mistake during the initial mixed number conversion process. Option D suggests a larger fractional value that contradicts the step-by-step simplification outcome.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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