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 the radius of a circle is 7 cm, what is its circumference?

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

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

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The LCM of 12 and 15 is:

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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 LCM of 15 and 20?

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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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If 8x = 512, what is the value of x?

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

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What is the square root of 0.25?

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