Understanding Proportions: Fractions, Decimals, and Percentages

Introduction

• Proportions can be expressed as percentages, decimals, or fractions.
• These different formats represent the same value.
• Being able to convert between these formats is essential, especially for exams.

Conversion Techniques

• Simple conversions can be memorized for efficiency.
• For complex values (e.g., converting 0.65 into a fraction), specific techniques will be covered in subsequent lessons.

Memorization Strategy

• Create a table with three columns: Fraction, Decimal, Percentage.
• Recognize patterns in the table to help with memorization.

Example Patterns

• 1/10 = 0.1 = 10%
• 2/10 = 0.2 = 20%
  • Notice the pattern: Each step increases the fraction by 'n' translates to 'n x 10' percent.
• 1 whole = 1 = 100%

Simplified Fractions

• Simplified fractions need special attention.
  • Example: 2/10 = 1/5, thus 1/5 = 0.2 = 20%

Common Fractions Worth Memorizing

• 1/2
• 1/3
• 1/4
• 1/5
• 1/8

Calculating Complex Fractions

• Use known fractions to calculate others.
  • Example: 3/8 = 3 x 1/8 = 0.375 or 37.5%

Conclusion

• Memorizing key fractions can help deduce other values.
• Further lessons will help with more complicated conversions.
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