Rates and 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 is a rate?

Back

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

Front

How do you find a missing number in a ratio?

Back

To find a missing number in a ratio, you can set up a proportion and solve for the unknown value.

Front

If the ratio of cats to dogs is 2:3 and there are 10 cats, how many dogs are there?

Back

15 dogs (Set up the proportion: 2/3 = 10/x, solve for x).

Front

What is the unit rate?

Back

The unit rate is the amount of one quantity per one unit of another quantity, often used to compare rates.

Front

How do you calculate the unit rate from a total?

Back

To calculate the unit rate, divide the total quantity by the number of units.

Front

If a car travels 240 miles in 4 hours, what is its speed in miles per hour?

Back

60 miles per hour (240 miles ÷ 4 hours).

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

If a recipe calls for 2 cups of flour for every 3 cups of sugar, what is the ratio of flour to sugar?

Back

The ratio of flour to sugar is 2:3.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common factor.