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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If the probability of an event is 1/4, what is the probability of its complement?

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If 8x = 512, what is the value of x?

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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 the first 10 positive even numbers?

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If a right triangle has legs of 9 cm and 12 cm, what is the length of the hypotenuse?

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If the radius of a circle is doubled, what happens to its area?

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

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If the angles of a triangle are in the ratio 2:3:4, what is the measure of the largest angle?

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The sum of the reciprocals of two numbers is 1/4. If one number is 12, what is the other?

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