How can a percentage be converted into a fraction?

How can a percentage be converted into a fraction?

• A. Multiplying by 100
• B. Adding 100
• C. Dividing by 100
• D. Subtracting 100

Answer: (C)

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.

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.