Ratios

Front

What is a ratio?

Back

A ratio is a comparison of two numbers, 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 is the ratio of blue circles to the total number of circles if there are 2 blue circles and 3 other circles?

Back

The ratio is 2:5.

Front

If the ratio of squares to circles is 3:6, what is the simplified form of this ratio?

Back

The simplified form is 1:2.

Front

Are the ratios 6:10 and 18:30 equivalent?

Back

Yes, they are equivalent because both simplify to 3:5.

Front

What is the first step in solving a ratio problem?

Back

Identify the quantities being compared and express them in fraction form.

Front

How can ratios be expressed?

Back

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

Front

What does it mean if two ratios are equivalent?

Back

It means that they represent the same relationship between the quantities, even if the numbers are different.

Front

If a table shows a ratio of A:B = 3:5 and B = 75, what is A?

Back

A = 45.

Front

What is a part-to-part ratio?

Back

A part-to-part ratio compares different parts of a whole, such as the ratio of boys to girls in a class.