Equivalent Ratios

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 do you simplify a ratio?

Back

To simplify a ratio, divide both terms of the ratio by their greatest common factor (GCF). For example, to simplify the ratio 12:16, divide both by 4 to get 3:4.

Front

What is the greatest common factor (GCF)?

Back

The greatest common factor (GCF) is the largest number that divides two or more numbers without leaving a remainder. For example, the GCF of 12 and 16 is 4.

Front

If a ratio is 4:7, what is an equivalent ratio?

Back

An equivalent ratio to 4:7 is 12:21, as both ratios represent the same relationship.

Front

How can you use a double number line to find equivalent ratios?

Back

A double number line shows two sets of numbers that are proportional. You can use it to visualize and find equivalent ratios by matching points on both lines.

Front

What is the ratio of red pens to blue pens if there are 19 red pens and 16 blue pens?

Back

The ratio of red pens to blue pens is 19:16.

Front

How do you find the time it takes for a different number of people to complete a task based on a given ratio?

Back

You can set up a proportion based on the known ratio. For example, if 18 people take 3 minutes, you can find how long it takes 12 people by setting up the equation: 18/3 = 12/x.

Front

What is a ratio table?

Back

A ratio table is a tool used to organize equivalent ratios in a table format, making it easier to see relationships between different quantities.

Front

If 6 apples cost $3, how much do 12 apples cost?

Back

If 6 apples cost $3, then 12 apples cost $6, as the ratio of cost to apples is equivalent.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions. For example, the ratio 3:4 can be written as the fraction 3/4.