Equivalent ratios and ratio tables

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

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

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms of the ratio by their greatest common factor (GCF).

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

How can you determine if two ratios are equivalent?

Back

You can determine if two ratios are equivalent by cross-multiplying and checking if the products are equal.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'x per 1 unit'.

Front

Calculate the unit rate: 120 customers in 6 hours.

Back

20 customers per hour.

Front

Which ratio is equivalent to 9/12?

Back

3/4.

Front

Complete the ratio table: 10, ? (if the equivalent ratio is 10, 45)

Back

10, 45.

Front

Determine if the following rates are equivalent: $15 for 5 pairs of socks; $25 for 10 pairs of socks.

Back

No.