Understand that to convert a fraction to a percent, you first convert the fraction to a decimal by dividing the numerator by the denominator. For the fraction \( \frac{9}{20} \), divide 9 by 20.
Perform the division: \( 9 \div 20 \). This will give you a decimal number.
Once you have the decimal, convert it to a percent by multiplying the decimal by 100.
After multiplying by 100, add the percent symbol (%) to express the result as a percent.
Write the final answer as a percent, ensuring it is simplified or rounded appropriately if necessary.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Fraction to Decimal Conversion
Converting a fraction to a decimal involves dividing the numerator by the denominator. For example, to convert 9/20, divide 9 by 20 to get 0.45. This step is essential because percentages are based on decimals.
To convert a decimal to a percent, multiply the decimal by 100 and add the percent symbol (%). For instance, 0.45 multiplied by 100 equals 45%, which expresses the fraction as a percent.
A percentage represents a part out of 100. It is a way to express fractions or decimals in terms of hundredths, making it easier to compare and interpret values in everyday contexts.