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Questions and Answers
What is 25% as a fraction?
An item originally priced at $80 is on sale with a 20% discount. What is the sale price of the item?
If 40% of the total number of apples are rotten, how many out of 200 apples are rotten?
What is 75% of 300?
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If there are 150 students in a school and 60% of them are girls, how many are boys?
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What does the term 'percent' mean?
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How is the percent value computed?
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What is the correct way to calculate 50% of 40%?
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Why is it incorrect to divide by 100 and use the percent sign at the same time?
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What is important when communicating about a percentage?
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Study Notes
Converting Percentages to Fractions
- 25% is equivalent to 1/4 as a fraction
Discounts and Percentages
- A 20% discount on an $80 item means the sale price is $80 - (20% of $80) = $64
Percentage of a Total
- If 40% of 200 apples are rotten, then 40% of 200 = (40/100) × 200 = 80 apples are rotten
Percentage of a Number
- 75% of 300 is equivalent to (75/100) × 300 = 225
Percentage of a Group
- If 60% of 150 students are girls, then the number of boys is 150 - (60% of 150) = 150 - 90 = 60
Understanding Percentages
- The term 'percent' means "per hundred" or a fraction with a denominator of 100
- The percent value is computed by dividing a value by a total value and multiplying by 100
- To calculate 50% of 40%, first calculate 40% of the total, then calculate 50% of that result
Avoiding Common Mistakes
- It is incorrect to divide by 100 and use the percent sign at the same time, as this will result in incorrect calculations
Effective Communication
- When communicating about a percentage, it is important to clearly state the total value or reference point to avoid confusion
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Description
Test your knowledge on calculating percentages with this quiz. Explore examples and understand the concept of expressing proportions as percentages.
