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

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

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What is the HCF of 48 and 180?

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

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What is the cube root of 729?

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If x = 3 and y = 4, what is the value of x^2 + y^2?

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If sin(θ) = 3/5 and θ is an acute angle, what is tan(θ)?

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A sphere has a radius of 7 cm. What is its volume?

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If a:b = 2:3 and b:c = 4:5, what is a:c?

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A sum of money triples itself in 12 years at simple interest. What is the rate of interest per annum?

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

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