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

What is the sum of all even numbers between 1 and 100?

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

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If x:y = 2:3 and z:y = 4:3, what is x:z?

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The sides of a triangle are 7, 24, and 25. Is this a right triangle?

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What is the sum of the first 10 positive even numbers?

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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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The ratio of two numbers is 3:5, and their sum is 64. What are the numbers?

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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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If a = 2 and b = 3, what is the value of (a^2 + b^2)?

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If a + b = 10 and ab = 21, what is the value of a^2 + b^2?

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