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

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If the sum of three consecutive integers is 96, what are the integers?

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A cube has a side length of 4 cm. What is its volume?

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What is the area of a circle with a diameter of 14 cm?

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

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What is the sum of all odd numbers from 1 to 99?

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If the perimeter of a square is 40 cm, what is the area of the square?

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The sides of a triangle are 5 cm, 12 cm, and 13 cm. What type of triangle is it?

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The sum of the squares of two consecutive integers is 145. What are the integers?

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A car covers a distance of 150 km in 2.5 hours. What is its average speed?

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