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Which two fractions are equivalent?
  • a)
    1/2 and 1/3
  • b)
    1/2 and 2/4
  • c)
    1/4 and 1/6
  • d)
    2/3 and 1/3
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Which two fractions are equivalent?a)1/2 and 1/3b)1/2 and 2/4c)1/4 and...
Two fractions are equivalent if they represent the same value.
  • 1/2 and 2/4 are equivalent because both simplify to the same value: 2/4 = 1/2
The other pairs are not equivalent:
  • 1/2 and 1/3 are not equal.
  • 1/4 and 1/6 are not equal.
  • 2/3 and 1/3 are not equal.
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Community Answer
Which two fractions are equivalent?a)1/2 and 1/3b)1/2 and 2/4c)1/4 and...
Understanding Equivalent Fractions
Equivalent fractions are fractions that represent the same value or proportion, even though they may look different. To determine if two fractions are equivalent, you can cross-multiply or simplify them to see if they yield the same value.
Analyzing the Options
Let’s evaluate each option to find which pairs of fractions are equivalent:
  • a) 1/2 and 1/3:
    - 1/2 is equal to 0.5
    - 1/3 is approximately 0.33
    - Not equivalent.
  • b) 1/2 and 2/4:
    - 1/2 can be expressed as 2/4 by multiplying the numerator and denominator by 2.
    - 1/2 = 2/4, hence they are equivalent.
  • c) 1/4 and 1/6:
    - 1/4 is 0.25
    - 1/6 is approximately 0.1667
    - Not equivalent.
  • d) 2/3 and 1/3:
    - 2/3 is approximately 0.6667
    - 1/3 is approximately 0.3333
    - Not equivalent.

Conclusion
The correct answer is option B: 1/2 and 2/4 are equivalent fractions. This demonstrates how multiplying the numerator and denominator of a fraction by the same number (in this case, 2) results in an equivalent fraction while maintaining the same value. Understanding equivalent fractions is crucial in fraction operations and comparisons.
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