ratios and ratio tables and equivalent ratios

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 are equivalent ratios?

Back

Equivalent ratios are two or more ratios that express the same relationship between numbers, meaning they simplify to the same fraction.

Front

How do you find equivalent ratios?

Back

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

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 pencils to boxes is 12:1, how many pencils are in 8 boxes?

Back

96 pencils (12 pencils per box x 8 boxes = 96 pencils).

Front

What is the value of B if the ratio is 3:7 and the total is 84?

Back

The value of B is 21 (3 parts out of 10 total parts, so 3/10 of 84 = 25.2).

Front

If a ratio is 4:5, what is the equivalent ratio if both terms are multiplied by 2?

Back

The equivalent ratio is 8:10.

Front

What is the missing value in the ratio table if the ratio is 1:3 and the first value is 9?

Back

The missing value is 27 (1 part is 9, so 3 parts are 9 x 3 = 27).

Front

How can you check if two ratios are equivalent?

Back

You can check if two ratios are equivalent by cross-multiplying and comparing the products.

Front

What does it mean if two ratios are not equivalent?

Back

If two ratios are not equivalent, it means they do not represent the same relationship between the quantities.