Simplifying Complex Fractions and Unit Rates

This video tutorial covers complex fractions and unit rates. It explains what complex fractions are, provides examples, and demonstrates how to simplify them using division. The video also explores calculating unit rates when fractions and mixed numbers are involved, using real-world examples to illustrate the process.

What is a complex fraction?

• A fraction with a large denominator

• A fraction with a large numerator

• A fraction that is difficult to simplify

• A fraction that contains another fraction

Which of the following is an example of a complex fraction?

• 1/2 over 3/4

• 5/6

• 3/4

• 7/8

How do you simplify a complex fraction?

• By subtracting the fractions

• By adding the fractions

• By multiplying the fractions

• By dividing the fractions

What is the simplified form of 2/3 divided by 6/7?

• 3/4

• 7/9

• 5/6

• 1/2

How do you find unit rates with fractions?

• By dividing the fractions

• By subtracting the fractions

• By adding the fractions

• By multiplying the fractions

Luis ran 3.5 miles in 0.75 hours. What is his speed in miles per hour?

• 4.67 miles per hour

• 4.67 miles per hour

• 2.5 miles per hour

• 3.75 miles per hour

A landscaper covers 22.33 square feet using 0.1 pounds of fertilizer. How many square feet per pound does the fertilizer cover?

• 200 square feet per pound

• 223.3 square feet per pound

• 250 square feet per pound

• 210 square feet per pound

Janet ran 2.5 miles in 11.5 minutes. What was her pace in minutes per mile?

• 4.8 minutes per mile

• 5.0 minutes per mile

• 4.6 minutes per mile

• 4.3 minutes per mile

A recipe uses 8.5 liters of soda to make 5 batches. How many liters per batch is this?

• 1.5 liters per batch

• 1.6 liters per batch

• 1.7 liters per batch

• 1.8 liters per batch

What method is used to simplify complex fractions and find unit rates?

• Addition

• Subtraction

• Multiplication

• Division