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 ratios and relationships between quantities using rectangular bars.

Front

If a tape diagram shows a ratio of 2:3, how many total parts are there?

Back

There are 5 total parts (2 parts + 3 parts).

Front

What is the ratio of flour to sugar in a recipe that uses 2 cups of flour and 3 cups of sugar?

Back

The ratio of flour to sugar is 2:3.

Front

How do you find the length of one part in a tape diagram if the total length is known?

Back

Divide the total length by the total number of parts to find the length of one part.

Front

What is the simplified form of the ratio 15:25?

Back

The simplified form of the ratio 15:25 is 3:5.

Front

In a tape diagram representing a ratio of 3:5, how many parts represent the larger quantity?

Back

5 parts represent the larger quantity.

Front

What is the first step to drawing a tape diagram for a ratio?

Back

Identify the total number of parts in the ratio and draw a rectangle divided into that many equal sections.

Front

If one part of a tape diagram is 6 units and the ratio is 2:3, what is the length of the other part?

Back

The length of the other part is 9 units.