Advanced Conversions and Common Percentages
This page covers more complex conversions and provides a reference table for common percentages.
Converting Fractions to Percentages (Denominators not factors of 100)
The guide outlines a three-step process:
- Write out the fraction (e.g., 1/3)
- Divide the numerator by the denominator (1 ÷ 3 ≈ 0.333...)
- Multiply the result by 100 or move the decimal point two places right (33.3%)
Example: Converting 1/3 to a percentage:
1/3 → 0.333... → 33.3%
The answer is approximately 33%
Converting Percentages to Fractions
The guide provides a simple two-step process:
- Write out the percentage (e.g., 86%)
- Use the whole number as the numerator and 100 as the denominator (86/100)
Example: Converting 86% to a fraction:
86% → 86/100
The answer is 86/100
Finding Common Percentages
The page includes a table of common percentages, their fractional equivalents, and decimal representations. This table serves as a quick reference for students.
Highlight: Memorizing these common percentages can greatly improve calculation speed and accuracy in everyday math problems.
Some examples from the table:
- 1/2 = 0.5 = 50%
- 1/4 = 0.25 = 25%
- 1/5 = 0.2 = 20%
- 1/10 = 0.1 = 10%
This comprehensive guide provides students with the tools to confidently convert between fractions, decimals and percents, enhancing their mathematical fluency and problem-solving skills.