To convert a fraction to a percentage, we need to understand the relationship between fractions, decimals, and percentages.
Understanding the Relationship
- Fractions: Represent parts of a whole. For example, 26/35 means 26 out of 35 equal parts.
- Decimals: Represent fractions in a base-10 system. For example, 0.75 represents three-quarters.
- Percentages: Represent parts of a whole out of 100. The symbol "%" means "out of one hundred."
Converting 26/35 to a Percentage
Here's how to convert 26/35 to a percentage:
-
Divide the numerator by the denominator: 26 ÷ 35 = 0.742857 (approximately)
-
Multiply the decimal by 100: 0.742857 × 100 = 74.2857%
-
Round to the desired decimal place: You can round the percentage to the nearest whole number, tenth, hundredth, or any other desired place value. For example, rounding to the nearest tenth gives us 74.3%.
Therefore, 26/35 as a percentage is approximately 74.3%.
Key Points
- Percentages are a common way to express fractions and decimals, especially in everyday contexts like sales discounts, interest rates, and survey results.
- Converting fractions to percentages helps us to visualize and compare proportions more easily.
- The process of conversion involves understanding the relationship between fractions, decimals, and percentages and applying basic arithmetic operations.
Example
Let's say you got 26 out of 35 questions correct on a test. To express your score as a percentage, you would convert the fraction 26/35 to a percentage, which is approximately 74.3%.
Conclusion
Converting fractions to percentages is a useful skill for many situations. By following the steps outlined above, you can easily convert any fraction to a percentage and express it in a more relatable and understandable form.
