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 number is increased by 20% and then decreased by 10%. What is the net change?

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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 x + 1/x = 5, what is the value of x^2 + 1/x^2?

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

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If a rectangle has a length of 10 cm and a width of 6 cm, what is its perimeter?

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If a square has a perimeter of 64 cm, what is its area?

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If sin(x) = 3/5 and x is in the first quadrant, what is cos(x)?

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What is the sum of the interior angles of a hexagon?

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The sides of a triangle are 13 cm, 14 cm, and 15 cm. What is its area?

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What is the HCF of 48 and 180?

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