## 10 Questions

What is 25% as a fraction?

$\frac{1}{4}$

An item originally priced at $80 is on sale with a 20% discount. What is the sale price of the item?

$64

If 40% of the total number of apples are rotten, how many out of 200 apples are rotten?

60 apples

What is 75% of 300?

225

If there are 150 students in a school and 60% of them are girls, how many are boys?

90

What does the term 'percent' mean?

Hundred

How is the percent value computed?

Multiplying the numeric value of the ratio by 100

What is the correct way to calculate 50% of 40%?

Convert both percentages to fractions of 100, or to decimals, and multiply them

Why is it incorrect to divide by 100 and use the percent sign at the same time?

It implies division by 10,000

What is important when communicating about a percentage?

The total that corresponds to 100%

## 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

Test your knowledge on calculating percentages with this quiz. Explore examples and understand the concept of expressing proportions as percentages.

## Make Your Own Quizzes and Flashcards

Convert your notes into interactive study material.

Get started for free