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 sin(A) = 3/5 and cos(B) = 5/13, where A and B are acute angles, what is sin(A+B)?

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What is the sum of the first 10 positive even numbers?

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

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If x:y = 4:5 and y:z = 2:3, what is x:z?

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If a cone has a radius of 5 cm and a height of 12 cm, what is its slant height?

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The LCM of two numbers is 60, and their HCF is 5. If one of the numbers is 20, what is the other number?

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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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If x^2 - 6x + 9 = 0, what is the value of x?

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

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A man invests Rs. 5000 at 5% per annum simple interest. What is the total amount after 3 years?

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