Ratios and Proportions Unit 9

Front

What is a ratio?

Back

A ratio is a comparison of two quantities expressed as a fraction, indicating how many times one value contains or is contained within the other.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD).

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, meaning they can be simplified to the same fraction.

Front

If a recipe calls for a ratio of 2:3 for sugar to flour, how much flour is needed for 4 cups of sugar?

Back

6 cups of flour (since 4 cups of sugar corresponds to 6 cups of flour in the ratio 2:3).

Front

What is a proportion?

Back

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

Front

How can you determine if two ratios form a proportion?

Back

Cross-multiply the ratios; if the products are equal, the ratios form a proportion.

Front

What is the formula to find the total number of parts in a ratio?

Back

Add the parts of the ratio together. For example, in a ratio of 3:5:2, the total is 3 + 5 + 2 = 10.

Front

If a car dealership has a ratio of 3 Economy cars to 7 Standard cars, how many Standard cars are there if there are 12 Economy cars?

Back

28 Standard cars (since 12 Economy cars correspond to 28 Standard cars in the ratio 3:7).

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first term is the numerator and the second term is the denominator.

Front

How do you convert a ratio to a percentage?

Back

To convert a ratio to a percentage, divide the first term by the sum of both terms and multiply by 100.