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 write a ratio?

Back

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

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 simplify to the same fraction.

Front

If there are 8 teaspoons of sugar, how much flour is needed if the ratio of sugar to flour is 4:3?

Back

6 teaspoons of flour are needed.

Front

What is the ratio of 20 to 5?

Back

The ratio of 20 to 5 simplifies to 4:1.

Front

How do you find an equivalent ratio?

Back

To find an equivalent ratio, multiply or divide both terms of the ratio by the same non-zero number.

Front

What is a ratio table?

Back

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

Front

If the ratio of cats to dogs is 3:2, how many dogs are there if there are 12 cats?

Back

There are 8 dogs.

Front

What is the relationship between ratios and fractions?

Back

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

Front

How can you check if two ratios are equal?

Back

You can check if two ratios are equal by cross-multiplying the terms and comparing the products.