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Percentages: Converting between fractions, decimals, and percentages
🚀 Percentages are a way to express a number as a part of 100. They are used in everyday life to describe discounts, interest rates, and statistics. Understanding how to convert between fractions, decimals, and percentages is essential for solving many real-world problems.
Examples💡
Example 1: Convert 1/4 to a percentage. First, convert the fraction to a decimal by dividing 1 by 4, which equals 0.25. Then, multiply by 100 to get 25%.
Example 2: Convert 0.75 to a percentage. Multiply 0.75 by 100 to get 75%.
Example 3: Convert 50% to a fraction. Divide 50 by 100 to get 0.5, which is 1/2 as a fraction.
Common Mistakes to Avoid⚠️
- Mistake: Forgetting to multiply by 100 when converting a decimal to a percentage. Correction: Always multiply the decimal by 100 to get the percentage.
- Mistake: Not simplifying fractions when converting to percentages. Correction: Simplify the fraction first, if possible, before converting to a percentage.
- Mistake: Confusing the process of converting percentages to decimals and vice versa. Correction: Remember that converting a percentage to a decimal involves dividing by 100, while converting a decimal to a percentage involves multiplying by 100.