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 the first 20 odd numbers?

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If the radius of a circle is 7 cm, what is its circumference?

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What is the sum of all angles in a hexagon?

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The sides of a triangle are 13 cm, 14 cm, and 15 cm. What is its area?

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What is the HCF of 48 and 180?

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

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The area of an equilateral triangle with side length 6 cm is:

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A car travels 240 km in 4 hours. What is its average speed?

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What is the 7th term of the arithmetic progression 3, 6, 9, 12,...?

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What is the sum of the first 50 positive integers?

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