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

How many ways can 4 people sit in a row?

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If a:b = 5:7 and b:c = 6:11, what is a:c?

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What is the remainder when 5^100 is divided by 3?

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

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If 5x - 2 = 13, what is the value of x?

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What is the length of the diagonal of a square with a side length of 7 cm?

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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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If 2x = 16, what is the value of x?

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A number is increased by 20% and then decreased by 20%. What is the net change?

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

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