Unit Rates with Complex Fractions

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 complex fraction?

Back

To calculate a unit rate from a complex fraction, divide the numerator by the denominator to simplify the fraction, then express the result as a rate per one unit.

Front

If Hannah reads 5/8 page in 2/3 minute, how do you find the pages read per minute?

Back

To find pages per minute, divide 5/8 by 2/3, which equals (5/8) ÷ (2/3) = (5/8) * (3/2) = 15/16 pages per minute.

Front

What is the price per item if John spent $36 on 4 basketballs?

Back

To find the price per basketball, divide the total cost by the number of basketballs: $36 ÷ 4 = $9 per basketball.

Front

How do you convert a fraction of an acre mowed in a certain time to acres per hour?

Back

To convert to acres per hour, divide the fraction of an acre by the time in hours. For example, if Paige mows 1/6 acre in 1/4 hour, then (1/6) ÷ (1/4) = (1/6) * (4/1) = 2/3 acres per hour.

Front

What is the formula to find the average temperature drop per day?

Back

To find the average temperature drop per day, divide the total temperature drop by the number of days. For example, if the temperature dropped 27 degrees over 3 days, then 27 ÷ 3 = 9 degrees per day.

Front

If Sasha mows 3/8 of an acre in 3/4 hour, how do you find the mowing rate in acres per hour?

Back

To find the mowing rate, divide the area mowed by the time taken. So, (3/8) ÷ (3/4) = (3/8) * (4/3) = 1/2 acres per hour.

Front

What is a complex fraction?

Back

A complex fraction is a fraction where the numerator, the denominator, or both are also fractions.

Front

How can you simplify a complex fraction?

Back

To simplify a complex fraction, find a common denominator for the fractions in the numerator and denominator, then simplify the overall fraction.

Front

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

Back

Unit rates help compare different quantities and make informed decisions, such as determining the best price for products or understanding speed.