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

If a+b = 10 and ab = 21, what is the value of a^3 + b^3?

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What is the area of an equilateral triangle with side length 10 cm?

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A cube has a side length of 4 cm. What is its volume?

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What is the length of the diagonal of a square with a side length of 7 cm?

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If 2x = 16, what is the value of x?

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If 2x - 3 = 7, what is the value of x?

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What is the value of x if 3x + 7 = 16?

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If log(100) = 2 and log(10) = 1, what is log(1000)?

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A sum of money doubles itself in 5 years at simple interest. What is the rate of interest?

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What is the sum of all even numbers between 1 and 50?

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