Ratio Tables

Front

What is a ratio?

Back

A ratio is a relationship between two numbers indicating how many times the first number contains the second.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD).

Front

What is a ratio table?

Back

A ratio table is a table that displays equivalent ratios in a structured format, helping to visualize the relationship between quantities.

Front

How do you find an equivalent ratio?

Back

To find an equivalent ratio, multiply or divide both terms of the ratio by the same non-zero number.

Front

What is the purpose of using ratio tables in problem-solving?

Back

Ratio tables help organize information and make it easier to identify relationships between quantities, facilitating problem-solving.

Front

If a ratio is 3:5, what is the equivalent ratio when both terms are multiplied by 2?

Back

The equivalent ratio is 6:10.

Front

How can you use a ratio table to solve a word problem?

Back

You can use a ratio table to set up the relationship between quantities, fill in known values, and find unknown values by identifying patterns.

Front

What is the relationship between unit rates and ratios?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often used to express rates like speed or price per item.

Front

How do you calculate a unit rate from a ratio?

Back

To calculate a unit rate, divide the first term of the ratio by the second term.

Front

What is the significance of the GCD in simplifying ratios?

Back

The GCD ensures that the ratio is expressed in its simplest form, making it easier to understand and compare.