Finding Equivalent Ratios

Front

What is a ratio?

Back

A ratio is a relationship between two numbers indicating how many times the first number contains the second.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD).

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between numbers, meaning they can be simplified to the same fraction.

Front

How can you express a ratio as a fraction?

Back

A ratio can be expressed as a fraction by placing the first term over the second term.

Front

What is the first step in finding missing values in a ratio table?

Back

Identify the relationship between the known values and use proportional reasoning to find the missing values.

Front

In the context of ratios, what is a proportion?

Back

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

Front

How do you find a missing term in a proportion?

Back

Cross-multiply the known terms and solve for the missing term.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, and fractions can be simplified to show equivalent ratios.

Front

How can you represent a ratio in a table format?

Back

A ratio can be represented in a table by listing pairs of equivalent values that maintain the same relationship.

Front

What is the significance of equivalent ratios in real-life applications?

Back

Equivalent ratios are used in various real-life situations, such as cooking, scaling recipes, and comparing quantities.