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

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

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If the sum of three consecutive integers is 72, what are the integers?

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What is the greatest common divisor (GCD) of 36 and 48?

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If the ratio of two numbers is 3:5 and their HCF is 4, what are the numbers?

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If 5x - 2 = 13, what is the value of x?

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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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What is the sum of the first 20 odd numbers?

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If the perimeter of a square is 40 cm, what is the area of the square?

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

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The LCM of two numbers is 60, and their HCF is 5. If one of the numbers is 20, what is the other number?

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