Ratios & Tape Diagrams Review

Front

What is a ratio?

Back

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

Front

How do you simplify a ratio?

Back

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

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 can be expressed as the same fraction.

Front

If the ratio of A to B is 3:5 and A = 12, what is B?

Back

B = 20, calculated by setting up the proportion 3/5 = 12/B and solving for B.

Front

How can ratios be expressed?

Back

Ratios can be expressed in three ways: as a fraction, with a colon (e.g., 3:5), or in words (e.g., '3 to 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 do you find the total number of parts in a ratio?

Back

To find the total number of parts in a ratio, add the numbers in the ratio together.

Front

In a recipe, if the ratio of sugar to flour is 1:4, how much sugar is needed for 2 cups of flour?

Back

0.5 cups of sugar, calculated by setting up the ratio 1/4 = x/2 and solving for x.

Front

What is the ratio of pears to apples if there are 5 pears and 4 apples?

Back

The ratio of pears to apples is 5:4.

Front

How do you convert a ratio to a fraction?

Back

To convert a ratio to a fraction, place the first quantity over the second quantity (e.g., a:b becomes a/b).