Ratios and Tape Diagrams

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

Ratios can be written in three ways: using a colon (e.g., 3:4), as a fraction (e.g., 3/4), or with the word 'to' (e.g., 3 to 4).

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 simplify to the same fraction.

Front

How do you find the total number of items in a ratio problem?

Back

To find the total number of items, add the parts of the ratio together.

Front

If there are 3 red balls and 5 blue balls, what is the ratio of red to blue?

Back

The ratio of red to blue is 3:5.

Front

What is a tape diagram?

Back

A tape diagram is a visual model that uses rectangles to represent ratios and relationships between quantities.

Front

How can tape diagrams help in solving ratio problems?

Back

Tape diagrams help visualize the parts of a ratio, making it easier to understand the relationship between quantities.

Front

If a recipe calls for 2 cups of flour to 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 ratio of nickels to total coins if there are 3 pennies, 4 nickels, and 5 dimes?

Back

The ratio of nickels to total coins is 4:12.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common factor.