Ratios, Unit Rates, 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 to b' or a:b.

Front

How do you calculate a unit rate?

Back

A unit rate is calculated by dividing the quantity of one item by the quantity of another item, typically expressed as 'per unit' (e.g., miles per hour).

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal, often used to solve for an unknown quantity.

Front

If you have 3 apples and 5 oranges, what is the ratio of apples to oranges?

Back

The ratio of apples to oranges is 3:5.

Front

How do you find the total number of items in a ratio?

Back

To find the total number of items in a ratio, add the parts of the ratio together. For example, in a ratio of 2:3, the total is 2 + 3 = 5.

Front

If 4 pencils cost $2.00, what is the cost of 1 pencil?

Back

The cost of 1 pencil is $0.50.

Front

What is the unit rate of 60 miles in 2 hours?

Back

The unit rate is 30 miles per hour.

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 solve a proportion?

Back

To solve a proportion, cross-multiply and then divide to find the unknown value.

Front

If you can read 15 pages in 30 minutes, how long will it take to read 45 pages?

Back

It will take 90 minutes to read 45 pages.