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. It can be expressed in three ways: as a fraction, with a colon, or with the word 'to'.

Front

How can a ratio be written?

Back

A ratio can be written in three ways: 1) as a fraction (e.g., 3/4), 2) with a colon (e.g., 3:4), and 3) using the word 'to' (e.g., 3 to 4). It cannot be written as an equation (e.g., 3=4).

Front

What is a unit rate?

Back

A unit rate is a rate in which the denominator is 1. It expresses how much of one quantity corresponds to one unit of another quantity.

Front

If you spend $40 on 5 pounds of concrete, what is the unit rate in dollars per pound?

Back

$8 per pound.

Front

How do you calculate the cost per item?

Back

To calculate the cost per item, divide the total cost by the number of items. For example, if 9 concert tickets cost $279, the cost per ticket is $279 ÷ 9 = $31.

Front

What is the formula to find the unit rate?

Back

The formula to find the unit rate is: Unit Rate = Total Quantity / Number of Units.

Front

If it costs $46.80 to fill a 13-gallon gas tank, how do you find the price of gas per gallon?

Back

To find the price per gallon, divide the total cost by the number of gallons: $46.80 ÷ 13 = $3.60 per gallon.

Front

What does it mean if a ratio is simplified?

Back

A simplified ratio means that the quantities have been reduced to their smallest whole number form, making it easier to understand the relationship between them.

Front

What is the difference between a ratio and a rate?

Back

A ratio compares two quantities, while a rate compares two quantities with different units, such as speed (miles per hour) or price (dollars per pound).

Front

How can you express a ratio of 2 to 3?

Back

You can express a ratio of 2 to 3 as 2:3, 2/3, or '2 to 3'.