Topic Details (Notes format)

How to Convert Decimals to Fractions and Percentages

Subject: Mathematics

Book: Maths Mastery

Decimals often arise in measurements, currency transactions, or statistical data, making it valuable to convert them into fractions and percentages. To turn a decimal into a fraction, recognize the place value: for 0.25, the denominator is 100 (since 25 is in the hundredths place), so 0.25 = 25/100, which simplifies to 1/4. Then, to convert it to a percentage, multiply by 100: 0.25 × 100% = 25%. A concise formula for decimal-to-percentage is simply Decimal × 100%. For decimal-to-fraction, you may need to simplify by dividing numerator and denominator by their greatest common divisor (GCD). Mastering these transformations helps interpret financial figures, scientific measurements, and standardized test results effectively.

Practice Questions

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

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What is the LCM of 15 and 20?

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What is the sum of the first 50 positive integers?

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The sides of a triangle are 7, 24, and 25. Is this a right triangle?

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What is the sum of all angles in a hexagon?

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If the sides of a triangle are 6 cm, 8 cm, and 10 cm, what is the area of the triangle?

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A triangle has angles 60°, 60°, and 60°. What type of triangle is it?

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

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The LCM of 12 and 15 is:

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