Comparing Ratios Using Tables

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, 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., 3:2), as a fraction (e.g., 3/2), or with the word 'to' (e.g., 3 to 2).

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 can you compare ratios using tables?

Back

You can compare ratios using tables by listing the quantities in rows and columns, then calculating and comparing the ratios for each row.

Front

What is the first step in comparing ratios?

Back

The first step is to ensure that the ratios are expressed in the same form, either as fractions or decimals.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

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 the ratio of walks to runs scored if a team has 8 walks and 4 runs?

Back

The ratio of walks to runs scored is 8:4, which simplifies to 2:1.

Front

If a park has 20 maple trees out of 100 total trees, what is the ratio of maple trees to total trees?

Back

The ratio of maple trees to total trees is 20:100, which simplifies to 1:5.

Front

How can you determine which team has the greatest ratio of walks to runs?

Back

Calculate the ratio for each team and compare the results to see which is the highest.