Rates, Ratios, and Proportions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing 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 factor (GCF).

Front

What is a proportion?

Back

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

Front

How do you determine if two ratios are equivalent?

Back

Two ratios are equivalent if their cross products are equal.

Front

What is the cost per pound?

Back

Cost per pound is calculated by dividing the total cost by the weight in pounds.

Front

Calculate the cost per pound for an 8-lb bag costing $9.88.

Back

Cost per pound = $9.88 / 8 = $1.235, rounded to $1.24.

Front

Calculate the cost per pound for a 20-lb bag costing $23.44.

Back

Cost per pound = $23.44 / 20 = $1.172, rounded to $1.17.

Front

Calculate the cost per pound for a 40-lb bag costing $49.00.

Back

Cost per pound = $49.00 / 40 = $1.225, rounded to $1.23.

Front

What is the simplest form of the ratio 42 to 6?

Back

The simplest form is 7:1.

Front

What is the simplest form of the ratio 27:12?

Back

The simplest form is 9:4.