This option is correct because converting a fraction to a percentage involves multiplying by 100. For 1/4, we compute (1/4) × 100 = 25. Writing this as a percentage gives 25%. Therefore, 1/4 is equivalent to 25%.
Option A:
25% means 25 parts out of 100, which simplifies to the fraction 25/100. Reducing 25/100 by dividing numerator and denominator by 25 gives 1/4. This confirms that 1/4 and 25% represent the same value.
Option B:
20% corresponds to 20/100, which simplifies to 1/5. Since 1/5 is different from 1/4, this percentage does not match the given fraction. Hence, this option is incorrect.
Option C:
40% corresponds to 40/100, which reduces to 2/5. This fraction again differs from 1/4. Therefore, 40% cannot be the correct conversion.
Option D:
50% represents 50/100, which simplifies to 1/2. This is larger than 1/4 and does not equal it. Thus, this option is also not correct.
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