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

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The sides of a triangle are 5 cm, 12 cm, and 13 cm. What type of triangle is it?

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

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If the probability of an event is 1/4, what is the probability of its complement?

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How many diagonals does a pentagon have?

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What is the sum of all odd numbers from 1 to 99?

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If the cost price of an item is Rs. 400 and the selling price is Rs. 500, what is the profit percentage?

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What is the area of a circle with a diameter of 14 cm?

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