Converting a fraction to a percentage can be a straightforward process. Here's how to convert 7/25 to a percentage in 5 easy steps:
Step 1: Understand the Fraction The fraction 7/25 represents 7 equal parts out of a total of 25 parts.
Step 2: Convert the Fraction to a Decimal To convert the fraction to a decimal, divide the numerator (7) by the denominator (25).
7 ÷ 25 = 0.28
Step 3: Multiply by 100 To convert the decimal to a percentage, multiply by 100.
0.28 × 100 = 28%
Step 4: Add the Percentage Sign Finally, add the percentage sign (%) to the result.
28%
Step 5: Verify the Result To verify the result, you can use an online fraction-to-percentage converter or calculate it manually using a calculator.
And that's it! You've successfully converted the fraction 7/25 to a percentage.
Key Concepts and Formulas
When converting fractions to percentages, it's essential to understand the following key concepts and formulas:
- Fraction: A fraction represents a part of a whole. It consists of a numerator (the top number) and a denominator (the bottom number).
- Decimal: A decimal is a way of expressing a fraction using a point (.) to separate the whole number part from the fractional part.
- Percentage: A percentage is a way of expressing a fraction as a proportion of 100.
The formula to convert a fraction to a percentage is:
Fraction ÷ 1 = Decimal × 100 = Percentage
For example:
3/4 = 0.75 × 100 = 75%
Common Fraction-to-Percentage Conversions
Here are some common fraction-to-percentage conversions:
- 1/2 = 50%
- 1/4 = 25%
- 3/4 = 75%
- 1/3 = 33.33%
- 2/3 = 66.67%
These conversions can be useful when working with fractions and percentages in various contexts, such as math, finance, and science.
Frequently Asked Questions
What is the difference between a fraction and a percentage?
+A fraction represents a part of a whole, while a percentage represents a proportion of 100. To convert a fraction to a percentage, you need to divide the numerator by the denominator and multiply by 100.
How do I convert a decimal to a percentage?
+To convert a decimal to a percentage, multiply the decimal by 100. For example, 0.25 × 100 = 25%.
What is the formula to convert a fraction to a percentage?
+The formula to convert a fraction to a percentage is: Fraction ÷ 1 = Decimal × 100 = Percentage.
By following these steps and understanding the key concepts and formulas, you can easily convert fractions to percentages in various contexts.