Express a terminating decimal as a fraction: Write 0.5 as a vulgar fraction.
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A5/10
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B5/12
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C5/9
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D5/6
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E1/5
Answer
Correct Answer: 5/10
Explanation
Introduction / Context:Decimals with one decimal place typically correspond to tenths. Converting 0.5 to fraction form is a direct application of place value.
Given Data / Assumptions:
- Decimal: 0.5
- Vulgar fraction requested. Simplification is not strictly required if an equivalent fraction appears among options.
Concept / Approach:Since the digit 5 is in the tenths place, 0.5 equals 5 tenths which is 5/10. This fraction also reduces to 1/2, but we must match an option exactly.
Step-by-Step Solution:
0.5 = 5 tenths = 5/10Optional reduction: 5/10 = 1/2 by dividing numerator and denominator by 5Verification / Alternative check:Convert back: 5/10 = 0.5 since 5 ÷ 10 = 0.5.
Why Other Options Are Wrong:5/12, 5/9, and 5/6 represent values that are not equal to 0.5. 1/5 equals 0.2, not 0.5.
Common Pitfalls:Assuming the fraction must be in lowest terms when the options require an exact text match. Here 5/10 is correct because it equals 0.5 and appears among the options.
Final Answer:5/10