Express a terminating decimal as a fraction: Write 0.5 as a vulgar fraction.

Difficulty: Easy

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 5


Verification / 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

More Questions from Decimal Fraction

Discussion & Comments

No comments yet. Be the first to comment!
Join Discussion