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

The base of a triangle is 10 cm and its height is 6 cm. What is its area?

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If the angles of a triangle are in the ratio 2:3:4, what is the measure of the largest angle?

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If a:b = 5:7 and b:c = 6:11, what is a:c?

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The probability of rolling a sum of 7 with two dice is:

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What is the sum of the first 20 odd numbers?

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What is the cube of 4?

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What is the remainder when 5^100 is divided by 3?

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

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If a number is divisible by 9, it is also divisible by which of the following?

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If 2a + b = 10 and a - b = 4, what is the value of a?

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