How can a percentage be converted into a fraction?

Prepare for the 5th Class Power Engineering Exam with comprehensive flashcards and multiple-choice questions. Each question includes hints and explanations. Get exam-ready!

To convert a percentage into a fraction, you take the percentage value and divide it by 100. This process transforms the percentage, which is essentially a ratio out of 100, into a simple fraction. For example, if you have 75%, it can be expressed as ( \frac{75}{100} ) by directly placing the percentage value over the number 100. You can then simplify the fraction to ( \frac{3}{4} ). This method is straightforward and works for converting any percentage into a fraction.

In contrast, the other methods listed do not provide a valid means of achieving this conversion:

  • Multiplying by 100 would increase the value rather than reduce it to a fraction.

  • Adding 100 is unrelated to the process of creating a fraction from a percentage.

  • Subtracting 100 would also alter the original value entirely, which does not assist in representing it as a fraction.

Thus, dividing by 100 is the correct and effective method for converting a percentage into a fraction.

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