Ratios, Equivalent Ratios, Ratio Tables

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

Front

How can a ratio be expressed?

Back

A ratio can be expressed in three ways: as a fraction (e.g., 2/3), with a colon (e.g., 2:3), or in words (e.g., '2 to 3').

Front

What are equivalent ratios?

Back

Equivalent ratios are ratios that express the same relationship between two quantities, even if the numbers are different (e.g., 2:4 is equivalent to 1:2).

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 a ratio table?

Back

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

Front

If the ratio of bananas to apples is 2:7, how many apples are there if there are 6 bananas?

Back

There are 21 apples.

Front

What is the ratio of red pens to blue pens if there are 16 red pens and 40 blue pens?

Back

The ratio is 2:5.

Front

How do you solve for a missing value in a ratio table?

Back

To solve for a missing value, set up a proportion using the known values and cross-multiply to find the unknown.

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.

Front

If a recipe calls for a ratio of 3:2 for flour to sugar, how much sugar is needed for 9 cups of flour?

Back

6 cups of sugar are needed.