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