Topic Details (Notes format)

How to Convert Percentages to Decimals and Fractions

Subject: Mathematics

Book: Maths Mastery

Percentages often appear in finance, shopping discounts, and data presentations. Converting them to decimals or fractions broadens the range of calculation methods available. To convert a percentage to a decimal, divide by 100 (e.g., 75% → 0.75). For a fraction, interpret 75% as 75/100, which simplifies to 3/4. A quick formula is Percentage ÷ 100 = Decimal, or Percentage/100 as a fraction, often simplifying if possible. This dual representation is key in more advanced math tasks, letting you multiply or add with ease, merging the best of both fractional and decimal computations.

Practice Questions

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What is the square root of 0.25?

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If x:y = 2:3 and z:y = 4:3, what is x:z?

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