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:b'.

Front

How do you simplify a ratio?

Back

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

Front

What does a ratio table represent?

Back

A ratio table is a tool used to display equivalent ratios in a structured format, helping to identify patterns and relationships.

Front

If the ratio of A to B is 2:3, what is the value of B if A = 8?

Back

B = 12, because 8 is 2/5 of the total ratio (2+3), and B is 3/5 of the total.

Front

What is the missing value in the ratio table if the ratio is 4:6 and the first value is 8?

Back

The missing value is 12, because 8 multiplied by 1.5 gives 12.

Front

How do you find a missing value in a ratio?

Back

To find a missing value in a ratio, set up a proportion and solve for the unknown variable.

Front

What is a proportion?

Back

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

Front

If 2:5 = x:20, what is the value of x?

Back

x = 8, because 2/5 = 8/20.

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 is the denominator.

Front

How can you use a ratio to predict outcomes?

Back

By understanding the relationship between quantities, you can use ratios to predict how changes in one quantity will affect another.