Writing Ratios & Identifying Equivalent 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 in the form a:b or a/b.

Front

How can a ratio be expressed?

Back

A ratio can be expressed in several ways: a:b, a/b, or 'a to b'. However, it cannot be expressed as a statement of equality, such as a = b.

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

Are the ratios 10:20 and 1:2 equivalent?

Back

Yes, they are equivalent because both simplify to 1:2.

Front

Are the ratios 2:1 and 18:9 equivalent?

Back

Yes, they are equivalent because both simplify to 2:1.

Front

What is the ratio of school apps to game apps if Kelly has 5 school apps and 3 game apps?

Back

The ratio of school apps to game apps is 5:3.

Front

What is the first step to determine if two ratios are equivalent?

Back

The first step is to simplify both ratios to their lowest terms and compare them.

Front

If a ratio is 4:8, what is its simplest form?

Back

The simplest form of the ratio 4:8 is 1:2.

Front

What is an example of a non-equivalent ratio?

Back

The ratios 3:4 and 5:6 are non-equivalent because they do not simplify to the same fraction.

Front

What does the term 'proportion' mean in relation to ratios?

Back

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