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 do you write a ratio?

Back

Ratios can be written in three ways: as a fraction (a/b), with a colon (a:b), or in words (a to b).

Front

What is a ratio table?

Back

A ratio table is a table that shows equivalent ratios, helping to visualize the relationship between two quantities.

Front

How do you find a missing value in a ratio table?

Back

To find a missing value, use equivalent ratios to set up a proportion and solve for the unknown.

Front

What is a proportion?

Back

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

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply and then divide to find the unknown value.

Front

If 1 quart of water requires 2 tablets of iodine, how many tablets are needed for 4 quarts?

Back

8 tablets.

Front

If the ratio of cats to dogs is 3:4, how many cats are there if there are 12 dogs?

Back

9 cats (using the ratio 3/4 = x/12).

Front

What is the missing value in the ratio 5:15 = x:45?

Back

x = 15 (because 5/15 = 1/3 and 1/3 of 45 is 15).

Front

What is the value of B in the ratio table if A is 28 and the ratio is 4:7?

Back

B = 49 (because 28 is 4 times 7).