6th Ratios & Proportions

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., 5:3), as a fraction (e.g., 5/3), or with the word 'to' (e.g., 5 to 3).

Front

What is a proportion?

Back

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

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms and then solve for the unknown variable.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Front

How do you find the unit rate?

Back

To find the unit rate, divide the first quantity by the second quantity.

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

If a recipe calls for 2 cups of flour for every 3 cups of sugar, what is the ratio of flour to sugar?

Back

The ratio of flour to sugar is 2:3.

Front

In a class, the ratio of boys to girls is 4 to 5. If there are 20 boys, how many girls are there?

Back

There are 25 girls.