Ratios, Equivalent Ratios, Ratio Tables

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 as 'a to b' or a:b.

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, even if the numbers are different. For example, 1:2 is equivalent to 2:4.

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

If the ratio of red pens to blue pens is 2:5 and there are 40 blue pens, how many red pens are there?

Back

16 red pens.

Front

What is a ratio table?

Back

A ratio table is a tool used to organize pairs of numbers that form equivalent ratios, helping to visualize the relationship between the quantities.

Front

How can you use a ratio table to find missing values?

Back

You can use a ratio table to find missing values by identifying the pattern in the ratios and applying multiplication or division.

Front

If there are 18 birds and 8 total animals, what is the ratio of birds to all animals?

Back

The ratio of birds to all animals is 3 to 18.

Front

What is the missing value in the ratio table if the ratio is 2:9 and one value is 18?

Back

The missing value is 4.

Front

How do you simplify a ratio?

Back

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

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first term is the numerator and the second term is the denominator.