Ratios/rates/Measure

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 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

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the total quantity by the number of units. For example, if 120 customers visit a store in 8 hours, the unit rate is 120 ÷ 8 = 15 customers per hour.

Front

What is the ratio of birds to total animals if there are 4 birds and 6 snakes?

Back

The ratio of birds to total animals is 4 to 10, or 4/10.

Front

If a car travels 150 miles in 3 hours, what is the unit rate in miles per hour?

Back

The unit rate is 150 miles ÷ 3 hours = 50 miles per hour.

Front

What does it mean to complete a ratio table?

Back

Completing a ratio table involves filling in missing values that maintain the same ratio between the quantities.

Front

If the ratio of cats to dogs is 2:3, how many cats are there if there are 15 dogs?

Back

If the ratio is 2:3, then for every 3 dogs, there are 2 cats. If there are 15 dogs, then there are (2/3) * 15 = 10 cats.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first quantity is the numerator and the second quantity is the denominator.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD). For example, the ratio 4:8 simplifies to 1:2.

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two quantities with different units, such as speed (miles per hour) or price (cost per item).