Unit 2 Flashcard Ratios

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 to b' or a:b.

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 quantities, even if the numbers are different.

Front

If the ratio of hearts to clouds is 2 to 3, how many hearts are there if there are 6 clouds?

Back

There are 4 hearts.

Front

What is the ratio of 8 to 6 in simplest form?

Back

The simplest form of the ratio 8:6 is 4:3.

Front

How can you express a ratio as a fraction?

Back

A ratio can be expressed as a fraction by placing the first quantity over the second quantity, e.g., 8:6 can be written as 8/6.

Front

What is a balanced ratio?

Back

A balanced ratio means that the quantities on both sides of the ratio are equal when compared.

Front

If you have 6 mangos and 2 pineapples, what is the ratio of mangos to pineapples?

Back

The ratio of mangos to pineapples is 6:2, which simplifies to 3:1.

Front

How many eggs are needed if the recipe calls for 3 eggs for every banana and you have 6 bananas?

Back

You need 18 eggs.

Front

What is the relationship between ratios and proportions?

Back

A proportion states that two ratios are equal, e.g., if a:b = c:d, then a/b = c/d.