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:b'.

Front

How do you calculate a rate?

Back

A rate is calculated by dividing the quantity of one item by the time it takes to achieve that quantity. For example, if you travel 60 miles in 1 hour, your rate is 60 miles per hour.

Front

What is the formula to find the number of items per day?

Back

To find the number of items washed or completed per day, divide the total number of items by the number of days.

Front

If Henry can write 5 ¼ pages in 3 hours, how do you find pages per hour?

Back

Convert 5 ¼ to an improper fraction (21/4), then divide by 3 hours: (21/4) ÷ 3 = 21/12 = 1.75 pages per hour.

Front

What does it mean if a ratio is expressed as 5:9?

Back

It means for every 5 units of the first quantity, there are 9 units of the second quantity.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both sides of the ratio by their greatest common divisor (GCD).

Front

What is the relationship between rates and ratios?

Back

Rates are a specific type of ratio that compares two different units, such as miles per hour or cars per day.

Front

If there are 30 tenants and the ratio of tenants to cars is 3:5, how do you find the number of cars?

Back

Set up the proportion: 3/5 = 30/x. Cross-multiply to find x: 3x = 150, so x = 50 cars.

Front

What is the unit rate?

Back

The unit rate is the ratio of a quantity to one unit of another quantity, often expressed as 'per unit'.

Front

How do you convert a mixed number to an improper fraction?

Back

Multiply the whole number by the denominator, add the numerator, and place that over the original denominator.