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Academy11+

🔄 Converting Between Forms

Learn to convert between fractions, decimals, and percentages. Master the conversion methods and solve problems with confidence.

Intermediate Level
45-55 minutes
Conversion Skills

What is Converting Between Forms?

Converting between forms helps us understand numbers better! 🔄

Converting between fractions, decimals, and percentages means changing from one form to another while keeping the same value. This skill is essential for comparing numbers and solving real-world problems.

Fractions
Parts of a whole

Convert to decimals by dividing numerator by denominator. Convert to percentages by dividing and multiplying by 100.

Decimals
Base-10 system

Convert to fractions by writing as fraction with power of 10 denominator. Convert to percentages by multiplying by 100.

Percentages
Parts per hundred

Convert to decimals by dividing by 100. Convert to fractions by writing as fraction with denominator 100 and simplifying.

Key Concepts

Fraction Conversions

To decimal: divide numerator by denominator. To percentage: divide numerator by denominator, then multiply by 100.

Decimal Conversions

To fraction: write as fraction with power of 10 denominator. To percentage: multiply by 100 and add % symbol.

Percentage Conversions

To decimal: divide by 100. To fraction: write as fraction with denominator 100, then simplify.

Detailed Examples

Example 1: Fraction to Decimal

Convert: 1/2 to decimal

Divide numerator by denominator
1 ÷ 2 = 0.5
Result: 0.5
Rule: Divide numerator by denominator

Fraction to Decimal Method

• Divide numerator by denominator
• Use long division if needed
• Check your answer makes sense
• Common fractions to remember
• Always check your answer

Example 2: Decimal to Percentage

Convert: 0.75 to percentage

Multiply by 100
0.75 × 100 = 75
Add % symbol
Result: 75%
Rule: Multiply by 100 and add %

Decimal to Percentage Method

• Multiply decimal by 100
• Add % symbol
• Move decimal point 2 places right
• Check your answer makes sense
• Always check your answer

Example 3: Percentage to Fraction

Convert: 25% to fraction

Write as fraction with denominator 100
25% = 25/100
Simplify: 25÷25/100÷25
Result: 1/4
Rule: Write as fraction, then simplify

Percentage to Fraction Method

• Write percentage as fraction with denominator 100
• Remove % symbol
• Simplify the fraction
• Find greatest common factor
• Always check your answer

Interactive Activities

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Activity 1: Conversion Converter

Convert between fractions, decimals, and percentages.

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Activity 2: Conversion Practice

Practice converting different types of numbers.

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Activity 3: Conversion Helper

Learn step-by-step conversion methods.

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Activity 4: Conversion Quiz

Test your conversion skills.

Practice Questions

Practise this with a free account

4 practice questions on this topic, from easy to 11+ level. Reading the guide is free for everyone; practice is for members, and signing up is free.

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Tips and Tricks

Fraction Conversions

  • • To decimal: divide numerator by denominator
  • • To percentage: divide, then multiply by 100
  • • Use long division for complex fractions
  • • Remember common fractions
  • • Always check your answer

Decimal Conversions

  • • To fraction: write with power of 10 denominator
  • • To percentage: multiply by 100
  • • Move decimal point 2 places right
  • • Simplify fractions when possible
  • • Check your answer makes sense

Percentage Conversions

  • • To decimal: divide by 100
  • • To fraction: write with denominator 100
  • • Remove % symbol first
  • • Simplify the fraction
  • • Always check your answer

Memory Tricks

  • • "Divide for fraction to decimal"
  • • "Multiply by 100 for decimal to percent"
  • • "Divide by 100 for percent to decimal"
  • • "Write over 100 for percent to fraction"
  • • "Always check your answer"