Percent Proportions

Front

What is a percent proportion?

Back

A percent proportion is a way to express a part of a whole as a percentage. It shows the relationship between a part and the total, often used to solve problems involving percentages.

Front

How do you calculate the ratio of one quantity to another?

Back

To calculate the ratio of one quantity to another, divide the first quantity by the second quantity and simplify if possible. For example, if there are 3 red cars and 5 total cars, the ratio is 3:5.

Front

What is the formula to find a percentage of a number?

Back

The formula to find a percentage of a number is: (Percentage / 100) * Total Number. For example, to find 30% of 200, calculate (30/100) * 200 = 60.

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 multiply by 100. For example, 3/4 = (3 ÷ 4) * 100 = 75%.

Front

What is the boy:girl ratio in a class with 15 boys and 20 girls?

Back

The boy:girl ratio is 15:20, which simplifies to 3:4.

Front

If Sarah earns $20 and spends 30% of it, how much does she spend?

Back

Sarah spends $6, which is 30% of $20.

Front

How do you find the percent of a total?

Back

To find the percent of a total, divide the part by the total and multiply by 100. For example, if a team wins 63 out of 84 games, the percent won is (63/84) * 100 = 75%.

Front

What is 40% of 230?

Back

40% of 230 is 92.

Front

What does it mean to simplify a ratio?

Back

Simplifying a ratio means reducing it to its simplest form by dividing both parts of the ratio by their greatest common divisor.

Front

How do you express a ratio in simplest form?

Back

To express a ratio in simplest form, divide both terms of the ratio by their greatest common factor. For example, the ratio 10:15 simplifies to 2:3.