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

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

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

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If the perimeter of a square is 36 cm, what is the length of its diagonal?

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What is the length of the diagonal of a square with a side length of 7 cm?

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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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The probability of getting an even number when rolling a die is:

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If x^3 - 3x^2 + 4 = 0, what is one root of the equation?

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If x^2 - 5x + 6 = 0, what are the roots?

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A sum of money doubles itself in 5 years at simple interest. What is the rate of interest?

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