1.6a Rates and Ratios

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 unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' something.

Front

How do you find the unit rate from a total cost?

Back

To find the unit rate from a total cost, divide the total cost by the number of items.

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

How can you determine if two ratios are equivalent?

Back

To determine if two ratios are equivalent, cross-multiply and compare the products.

Front

What is the relationship between rates and ratios?

Back

Rates are a specific type of ratio that compares two quantities with different units, such as miles per hour or cost per item.

Front

How do you convert a ratio to a fraction?

Back

To convert a ratio to a fraction, write the first term as the numerator and the second term as the denominator.

Front

What is the simplest form of a ratio?

Back

The simplest form of a ratio is when the two terms are reduced to their smallest whole number values.

Front

If you travel 240 miles on 8 gallons, what is the unit rate in miles per gallon?

Back

30 miles per gallon.