Proportions and Percentages

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms and then solve for the unknown variable.

Front

What is a percentage?

Back

A percentage is a way of expressing a number as a fraction of 100.

Front

How do you calculate a percentage of a number?

Back

To calculate a percentage of a number, multiply the number by the percentage (in decimal form). For example, 15% of 150 is calculated as 150 * 0.15 = 22.5.

Front

What is 50% of a number?

Back

50% of a number is half of that number.

Front

What is 25% of a number?

Back

25% of a number is one quarter of that number.

Front

How do you convert a fraction to a percentage?

Back

To convert a fraction to a percentage, divide the numerator by the denominator and then multiply by 100.

Front

What is the formula for finding the percentage of a part compared to a whole?

Back

The formula is: (part/whole) * 100 = percentage.

Front

If 20 out of 80 students passed a test, what percentage passed?

Back

(20/80) * 100 = 25%.

Front

What is the relationship between fractions and percentages?

Back

Fractions can be converted to percentages by multiplying by 100, and percentages can be converted to fractions by dividing by 100.