Ratios & Proportions 2022-2023

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 factor (GCF).

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you find the unit rate?

Back

To find the unit rate, divide the quantity by the number of units. For example, if Samantha earned $90 for 6 hours, the unit rate is $90 ÷ 6 = $15 per hour.

Front

What is the simplified ratio of wins to losses if a team won 100 games and lost 60?

Back

The simplified ratio of wins to losses is 5 to 3.

Front

How do you express a ratio of part to whole?

Back

To express a ratio of part to whole, divide the part by the total. For example, if there are 3 red LEGOS out of 17 total LEGOS, the ratio is 3/17.

Front

If a cafeteria worker needs 1 tray of tater tots for every 20 kids, how many trays are needed for 180 kids?

Back

The worker needs 9 trays of tater tots for 180 kids.

Front

What is the difference between part to part and part to whole ratios?

Back

Part to part ratios compare two parts of a whole, while part to whole ratios compare one part to the entire whole.

Front

What does it mean to compare ratios?

Back

Comparing ratios involves determining the relationship between two or more ratios to see how they relate to each other.

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest number that divides two or more numbers without leaving a remainder.