Understanding Ratios and Rates

Front

What is a ratio?

Back

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

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between numbers, even if the numbers themselves are different.

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 rate?

Back

A rate is a specific kind of ratio that compares two quantities with different units, such as speed (miles per hour) or price per item.

Front

How do you find the unit price of an item?

Back

To find the unit price, divide the total price by the number of units (e.g., price per ounce or price per item).

Front

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

Back

6 cups of sugar are needed (4 cups flour x (3/2) = 6 cups sugar).

Front

What is the formula to calculate speed?

Back

Speed = Distance ÷ Time.

Front

If a cyclist travels 60 miles in 4 hours, what is their speed?

Back

15 miles per hour (60 miles ÷ 4 hours = 15 mph).

Front

How do you determine if a ratio is not equivalent to another?

Back

To determine if a ratio is not equivalent, simplify both ratios and compare their simplest forms.

Front

What is the price per item if 10 items cost $50?

Back

$5 per item ($50 ÷ 10 items = $5/item).