Converting Fractions to Percentages

Mental Math · Axiom Academy

LESSON Converting Fractions to Percentages Mental techniques for converting fractions to percentages without a calculator Converting a fraction to a percentage means finding what that fraction equals when expressed as parts per hundred. The fundamental conversion formula is: 2. Method 1: Easy Denominators When the denominator divides evenly into 100, the conversion is straightforward. 3. Method 2: Convert to Decimal First For many fractions, converting to decimal first makes the percentage obvious. 4. Method 3: Common Fraction Benchmarks Memorizing common fractions and their percentage equivalents speeds up mental math dramatically. 5. Method 4: Equivalent Fractions Sometimes converting to an equivalent fraction with denominator 100 is easiest. Strategy: Find what number to multiply the denominator by to get 100. For fractions with denominators like 3, 6, 7, or 9, use smart estimation and division. Let's apply these methods to various fractions: Method: 20 times 5 equals 100, so multiply by 5/5 Method: 8 goes into 100 twelve and a half times Method: Know that 1/3 is about 33.33%, so 2/3 is double that

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