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 2x - 3 = 7, what is the value of x?

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If the sum of the squares of two consecutive positive integers is 365, what are the integers?

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The probability of getting an even number when rolling a die is:

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

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If x:y = 4:5 and y:z = 2:3, what is x:z?

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What is the sum of the first 20 odd numbers?

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What is the value of x if 3x + 7 = 16?

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If a = 4 and b = 5, what is the value of (a+b)^2?

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If sin(θ) = 0.6 and θ is acute, what is cos(θ)?

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