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

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

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

Back

To find a missing value, you can set up a proportion based on the known values and solve for the unknown.

Front

What does it mean to solve a proportion?

Back

Solving a proportion means finding the value of a variable that makes two ratios equivalent.

Front

If the ratio of A to B is 2:5, what is the value of B if A is 6?

Back

To find B, set up the proportion 2/5 = 6/B. Cross-multiply to get 2B = 30, so B = 15.

Front

What is the relationship between ratios and fractions?

Back

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

Front

How can you simplify a ratio?

Back

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

Front

What is a proportion?

Back

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

Front

If 1 quart of water requires 2 tablets of iodine, how many tablets are needed for 3 quarts?

Back

For 3 quarts, you need 6 tablets (2 tablets x 3 quarts).

Front

What is the missing value in the ratio 4:__ = 12:18?

Back

The missing value is 6, because 4/6 = 12/18.