Unit Rates and Comparing Unit Rates

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' something, such as miles per hour or cost per item.

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the quantity by the number of units. For example, if you have 300 miles in 5 hours, the unit rate is 300 miles ÷ 5 hours = 60 miles per hour.

Front

If Kyle eats 1/2 of a pie in 1/5 of a minute, how do you find out how many pies he can eat in one minute?

Back

To find out how many pies Kyle can eat in one minute, first find the rate of pies per minute by multiplying the amount of pie eaten by the reciprocal of the time taken: (1/2 pie) / (1/5 minute) = 2.5 pies per minute.

Front

What is the unit rate for Charles who types 675 words in 9 minutes?

Back

To find the unit rate, divide the total words by the total time: 675 words ÷ 9 minutes = 75 words per minute.

Front

How do you convert a rate given in fractions to a unit rate?

Back

To convert a rate given in fractions to a unit rate, divide the numerator by the denominator and then adjust the time or quantity to find the rate per one unit.

Front

If Ben drinks 1/2 liter of tea every 2/3 of an hour, how do you find his drinking rate per hour?

Back

To find Ben's drinking rate per hour, calculate (1/2 liter) / (2/3 hour) = (1/2) * (3/2) = 3/4 liter per hour.

Front

What is the significance of understanding unit rates in real-life applications?

Back

Understanding unit rates helps in making comparisons, budgeting, and evaluating efficiency in various contexts, such as speed, cost, and consumption.

Front

What is the unit rate for Henry who writes 5 ¼ pages in 3 hours?

Back

To find the unit rate, 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 is an example of a unit rate?

Back

An example of a unit rate is 60 miles per hour, which indicates the distance traveled in one hour.

Front

Which of the following is NOT a unit rate: 1 minute, 3 feet?

Back

1 minute is not a unit rate because it does not compare a quantity to one unit of another quantity.