Ratios and Proportions

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:b'.

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 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

If Jordyn bought 4 gallons of gasoline for $16.80, what is the price per gallon?

Back

$4.20 per gallon.

Front

What is the simplified form of the ratio 12:3?

Back

4:1.

Front

How do you find the unit rate of a ratio?

Back

To find the unit rate, divide the first quantity by the second quantity.

Front

If there are 10 apples and 15 peaches, what is the ratio of peaches to apples in simplest form?

Back

3:2.

Front

What does it mean to scale a drawing?

Back

Scaling a drawing means to enlarge or reduce the dimensions of an object while maintaining the same proportions.

Front

In a scale drawing of a billboard, if the scale is 4 cm:9 ft and the drawing is 11 cm long, how long is the actual billboard?

Back

24.75 ft.

Front

What is the relationship between ratios and proportions?

Back

A proportion states that two ratios are equal, often written as 'a:b = c:d'.