Ratios, Equivalent Ratios, Unit Rates

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 write a ratio?

Back

A ratio can be written using the word 'to' (e.g., 3 to 4) or as a fraction (e.g., 3/4).

Front

What is an equivalent ratio?

Back

Equivalent ratios are ratios that express the same relationship between two quantities, even if the numbers are different (e.g., 1:2 is equivalent to 2:4).

Front

How do you find equivalent ratios?

Back

To find equivalent ratios, you can multiply or divide both terms of the ratio by the same non-zero number.

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' (e.g., miles per hour).

Front

If you have 4 apples and 2 oranges, what is the ratio of apples to oranges?

Back

The ratio of apples to oranges is 4:2, which simplifies to 2:1.

Front

If a recipe calls for 2 cups of flour for every 3 cups of sugar, what is the ratio of flour to sugar?

Back

The ratio of flour to sugar is 2:3.

Front

What is the price per item if 12 items cost $24?

Back

The price per item is $2 (24 divided by 12).

Front

If a car travels 150 miles in 3 hours, what is the unit rate in miles per hour?

Back

The unit rate is 50 miles per hour (150 miles divided by 3 hours).

Front

Which of the following ratios is equivalent to 5:15?

Back

1:3 is equivalent to 5:15.