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 (e.g., miles per hour, price per item).

Front

How do you calculate a unit rate from a given quantity and time?

Back

To calculate a unit rate, divide the quantity by the time taken to find the amount per unit of time (e.g., quantity/time).

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

Convert the time to hours and divide the quantity by the time: (1/2) / (2/3) = (1/2) * (3/2) = 3/4 liters per hour.

Front

How can you express Jada's reading rate of 3/5 of a book in 1/4 of an hour as a unit rate?

Back

To find the unit rate, divide the amount read by the time: (3/5) / (1/4) = (3/5) * (4/1) = 2 and 2/5 books per hour.

Front

What is the formula to find the number of pieces of candy per ounce in a bag?

Back

Divide the total number of pieces of candy by the total weight in ounces: pieces/ounces.

Front

How do you calculate Kyle's pie eating rate from 1/5 of a minute for 1/2 of a pie?

Back

To find the rate, divide the amount of pie eaten by the time: (1/2) / (1/5) = (1/2) * (5/1) = 2 and 1/2 pies per minute.

Front

What is the price per ounce if a 30 oz jar of mayonnaise costs $2.99?

Back

Divide the total price by the total ounces: $2.99 / 30 oz = $0.10 per ounce.

Front

Why is it important to understand unit rates in real-life applications?

Back

Understanding unit rates helps in making comparisons, budgeting, and evaluating costs or speeds in everyday situations.

Front

What is the relationship between unit rates and ratios?

Back

Unit rates are a specific type of ratio that compares a quantity to one unit of another quantity.

Front

How can you convert a fraction to a unit rate?

Back

To convert a fraction to a unit rate, divide the numerator by the denominator and express it in terms of one unit.