Ratios and Tape Diagrams

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed in the form 'a:b'.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD).

Front

What does a tape diagram represent?

Back

A tape diagram visually represents quantities in a ratio, using rectangles to show the relative sizes of the parts.

Front

If a recipe calls for 4 cups of flour and 6 cups of sugar, what is the ratio of flour to sugar?

Back

2:3

Front

What is the first step in solving a ratio problem using a tape diagram?

Back

Identify the quantities involved and how they relate to each other.

Front

If a tape diagram shows a ratio of 2:5 and one part is 10 units, what is the length of the other part?

Back

25 units

Front

What is the ratio of 15 to 25 when simplified?

Back

3:5

Front

How can you represent the ratio 1:4 using a tape diagram?

Back

Draw one part in one color and four parts in another color.

Front

What is the purpose of using tape diagrams in ratio problems?

Back

Tape diagrams help visualize the quantities involved, making it easier to compare and calculate.

Front

If a tape diagram represents a ratio of 3:2 and the total length is 25 units, what is the length of each part?

Back

The lengths are 15 units and 10 units.