Equivalent Ratios and Proportional Ratios

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing the relative size of one quantity to another.

Front

How do you express a ratio?

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 does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, meaning they simplify to the same fraction.

Front

How can you determine if two ratios are equivalent?

Back

You can determine if two ratios are equivalent by cross-multiplying and checking if the products are equal.

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio or rate.

Front

What is the formula for finding a missing value in a proportion?

Back

The formula is a/b = c/d, where you can find the missing value by cross-multiplying: a*d = b*c.

Front

If Eileen has 8 female friends and 2 male friends, what is the ratio of female to male friends?

Back

The ratio of female to male friends is 8:2, which simplifies to 4:1.

Front

What is the value of x in the proportion 3/5 = x/30?

Back

The value of x is 18.

Front

What is the ratio of hens to roosters if there are 30 chickens and 5 are roosters?

Back

The ratio of hens to roosters is 25:5, which simplifies to 5:1.

Front

How do you find the ratio of two different categories in a collection?

Back

To find the ratio, divide the number of items in one category by the number of items in the other category.