Ratios, Equivalent Ratios, and Ratio Tables SG

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 as 'a to b' or 'a:b'.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD). For example, to simplify 35:14, divide both by 7 to get 5:2.

Front

What are three ways to write a ratio?

Back

1. Using 'to' (e.g., 5 to 2) 2. Using a colon (e.g., 5:2) 3. As a fraction (e.g., 5/2).

Front

If the ratio of girls to boys is 3:8 and there are 48 boys, how many girls are there?

Back

18 girls.

Front

What is an equivalent ratio?

Back

An equivalent ratio is a ratio that expresses the same relationship between two quantities, even if the numbers are different. For example, 2:3 and 4:6 are equivalent ratios.

Front

How can you find a missing value in a ratio table?

Back

To find a missing value in a ratio table, use equivalent ratios or cross-multiplication to solve for the unknown.

Front

What is a ratio table?

Back

A ratio table is a table that displays pairs of numbers that form equivalent ratios, helping to visualize the relationship between the quantities.

Front

If the ratio of sweaters to vests is 6:5 and there are 30 vests, how many sweaters are there?

Back

36 sweaters.

Front

What is the greatest common divisor (GCD)?

Back

The GCD is the largest number that divides two or more numbers without leaving a remainder. It is used to simplify ratios.

Front

Give a real-life example of a ratio.

Back

A real-life example of a ratio is 4 meatballs to 1 cup of sauce.