Topic Details (Notes format)

How to Convert Fractions to Percentages?

Subject: Mathematics

Book: Maths Mastery

Converting fractions to percentages is crucial for comparing data, interpreting charts, and calculating success rates. The formula involves dividing the fraction’s numerator by its denominator, then multiplying by 100. Mathematically: (Numerator ÷ Denominator) × 100%. For example, for 3/4, you compute 3 ÷ 4 = 0.75, then multiply 0.75 × 100% = 75%. This quick conversion helps you see parts of a whole in a more intuitive, percentage-based format. Practice with a variety of fractions—like 2/5, 7/10, or 11/20—to build familiarity. Developing this skill also lays groundwork for advanced mathematical concepts in statistics, probability, and real-world applications like score interpretation or survey results.

Practice Questions

The area of an equilateral triangle with side length 6 cm is:

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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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What is the greatest common divisor (GCD) of 36 and 48?

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

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If the average of five consecutive odd numbers is 25, what is the largest number?

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If 5x - 2 = 13, what is the value of x?

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If a square has a perimeter of 64 cm, what is its area?

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If x = 3 and y = 4, what is the value of x^2 + y^2?

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What is the sum of all angles in a hexagon?

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A rectangle has a length of 10 cm and a width of 5 cm. What is the diagonal of the rectangle?

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