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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The sum of the reciprocals of two numbers is 1/4. If one number is 12, what is the other?

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What is the sum of all even numbers between 1 and 100?

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A number is increased by 20% and then decreased by 20%. What is the net change?

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If x + y = 10 and xy = 21, what is the value of x³ + y³?

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A sphere has a radius of 7 cm. What is its volume?

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What is the cube root of 729?

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