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

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

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If the ratio of two numbers is 3:5 and their HCF is 4, what are the numbers?

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If x + 1/x = 5, what is the value of x^2 + 1/x^2?

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What is the value of log₃(27)?

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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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If sin(x) = 3/5 and x is in the first quadrant, what is cos(x)?

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How many ways can 4 people sit in a row?

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What is the square root of 144?

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What is the HCF of 48 and 180?

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