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 train 150 m long passes a pole in 15 seconds. What is its speed?

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

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If a = 5 and b = 12, what is the length of the hypotenuse of a right triangle?

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

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The simple interest on Rs. 4000 at 5% per annum for 2 years is:

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The ratio of two numbers is 3:5, and their sum is 64. What are the numbers?

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

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

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The angles of a quadrilateral are in the ratio 3:4:5:6. What is the largest angle?

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If x² - 9x + 18 = 0, what are the roots of the equation?

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