Fractions in Disguise
CBSE · Class 8 · Mathematics
Summary of Fractions in Disguise for CBSE Class 8 Mathematics. Key concepts, important points, and chapter overview.
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Overview
Percentages are fractions with denominator 100. They help compare quantities, show change, and describe profit, loss, interest, discount, inflation, and depreciation. A percentage can be written as a fraction, decimal, or ratio, and the same idea can be used in many different situations. The chapter
Key Concepts
Percent means per centum
Percent means per centum, which means by the hundred or out of hundred. So 25% means 25 out of 100. Percentages are fractions with denominator 100.
A fraction can be changed into
A fraction can be changed into a percentage by multiplying it by 100. For example, 3/4 = 75%.
The rule is y% of value
The rule is y% of value = (y/100) × value. For example, 50% of a value means half of it, because 50% = 1/2 = 0.5.
Scores or quantities with different total
Scores or quantities with different total values cannot be compared directly. They must first be converted into percentages. For example, 42/50 = 84%
Percentage increase = (amount of increase
Percentage increase = (amount of increase / original amount) × 100. Percentage decrease = (amount of decrease / original amount) × 100. A value of 165
Learning Objectives
- Understand percent as a fraction out of 100
- Convert fractions, decimals, and ratios into percentages
- Find a percentage of a quantity using the formula y% of value = (y/100) × value
- Compare quantities by converting them to percentages
- Calculate percentage increase and percentage decrease
Frequently Asked Questions
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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