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

If the sum of the squares of two consecutive positive integers is 365, what are the integers?

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

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The LCM of 12 and 15 is:

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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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What is the area of an equilateral triangle with side length 10 cm?

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

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If a rectangle has a length of 10 cm and a width of 6 cm, what is its perimeter?

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A man spends 75% of his income and saves Rs. 600. What is his total income?

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A train 120 meters long is moving at a speed of 54 km/h. How long will it take to pass a pole?

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How many diagonals does a pentagon have?

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