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 travels 240 km in 4 hours. What is its average speed?

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A rectangle has a length of 10 cm and a width of 5 cm. What is the diagonal of the rectangle?

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What is the cube root of 729?

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

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

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What is the slope of a line passing through the points (2, 3) and (4, 7)?

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What is the sum of the first 50 positive integers?

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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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What is the area of a sector of a circle with radius 14 cm and central angle 90°?

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If x^3 - 3x^2 + 4 = 0, what is one root of the equation?

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