Ratios and Proportions I

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

Front

How do you write a ratio?

Back

A ratio can be written in three ways: using a colon (e.g., 2:3), the word 'to' (e.g., 2 to 3), or as a fraction (e.g., 2/3).

Front

What does it mean to simplify a ratio?

Back

To simplify a ratio means to reduce it to its smallest form by dividing both sides by their greatest common factor.

Front

If there are 4 apples and 2 oranges, what is the ratio of apples to oranges?

Back

The ratio of apples to oranges is 4:2, which simplifies to 2:1.

Front

What is the ratio of boys to girls if there are 6 boys and 9 girls?

Back

The ratio of boys to girls is 6:9, which simplifies to 2:3.

Front

In a recipe, if the ratio of sugar to flour is 1:4, how much sugar is needed for 8 cups of flour?

Back

If the ratio is 1:4, then for 8 cups of flour, you need 2 cups of sugar.

Front

What is a proportion?

Back

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

Front

If 3/4 of a class are girls and there are 24 students, how many are girls?

Back

If 3/4 of the class are girls, then there are 18 girls (3/4 of 24).

Front

How do you find an unknown in a proportion?

Back

To find an unknown in a proportion, you can cross-multiply and solve for the unknown.

Front

If the ratio of cats to dogs is 5:2, how many dogs are there if there are 25 cats?

Back

If the ratio is 5:2, then for 25 cats, there are 10 dogs.