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 the sum of the squares of two consecutive positive integers is 365, what are the integers?

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If a+b = 10 and ab = 21, what is the value of (a-b)^2?

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If the ratio of two numbers is 3:5 and their HCF is 4, what are the numbers?

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

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The LCM of 12 and 15 is:

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A rectangle has an area of 48 cm² and a length of 8 cm. What is its width?

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A man rows downstream at 6 km/h and upstream at 4 km/h. What is the speed of the stream?

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If the sides of a triangle are 6 cm, 8 cm, and 10 cm, what is the area of the triangle?

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If x - y = 5 and x + y = 15, what is the value of x?

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What is the square root of 0.25?

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