Ratios and Proportions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you find the unit rate?

Back

To find the unit rate, divide the quantity by the number of units. For example, if a car travels 440 miles in 8 hours, the unit rate is 440 miles ÷ 8 hours = 55 miles per hour.

Front

What does it mean for two quantities to be proportional?

Back

Two quantities are proportional if they maintain a constant ratio or rate.

Front

How do you determine the least expensive unit price?

Back

To determine the least expensive unit price, calculate the price per unit for each option and compare them.

Front

If the ratio of tenants to cars is 3:5 and there are 30 tenants, how many cars are there?

Back

There are 50 cars. (30 tenants / 3 = 10 units; 10 units * 5 cars/unit = 50 cars.)

Front

What is the price per ticket if 4 concert tickets cost $252?

Back

The price per ticket is $63.00. ($252 ÷ 4 tickets = $63.00 per ticket.)

Front

What is a unit price?

Back

A unit price is the cost per single unit of a product, allowing for easy comparison between different sizes or quantities.

Front

How can you express a ratio in simplest form?

Back

To express a ratio in simplest form, divide both terms of the ratio by their greatest common divisor.

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.