Ratios

Front

What is a ratio?

Back

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

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 equal?

Back

Two ratios are equal if they represent the same relationship between quantities, meaning they can be expressed as equivalent fractions.

Front

How can you convert a ratio to a fraction?

Back

To convert a ratio to a fraction, write the first term as the numerator and the second term as the denominator.

Front

What is the ratio of 10 to 15 in simplest form?

Back

The simplest form of the ratio 10 to 15 is 2 to 3.

Front

If a recipe calls for a ratio of 2:3 of sugar to flour, how much sugar is needed for 6 cups of flour?

Back

For 6 cups of flour, you need 4 cups of sugar (2/3 of 6).

Front

What is a ratio table?

Back

A ratio table is a tool used to organize pairs of numbers that form equivalent ratios.

Front

How do you find missing values in a ratio table?

Back

To find missing values in a ratio table, use equivalent ratios and cross-multiply if necessary.

Front

What is the relationship between ratios and proportions?

Back

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

Front

How can you check if two ratios are equivalent?

Back

To check if two ratios are equivalent, cross-multiply and see if the products are equal.