Understanding Unit Rates with Complex Fractions

The video tutorial explains how to find unit rates using complex fractions. It begins by defining complex fractions and demonstrating how to simplify them. The tutorial then provides two examples: calculating the unit rate of a pool filling in gallons per minute and determining the reading speed in pages per minute. The key is to understand the order of terms in the unit rate and how to divide complex fractions to find the solution.

What is a complex fraction?

• A fraction with a decimal in the numerator

• A fraction with a fraction in the numerator, denominator, or both

• A fraction with a whole number in the denominator

• A fraction with a variable in the numerator

How do you simplify the complex fraction 2/3 over 4/5?

• Divide 2/3 by 4/5

• Add 2/3 and 4/5

• Multiply 2/3 by 4/5

• Subtract 4/5 from 2/3

In the pool filling example, what is the unit rate in gallons per minute?

• 3 gallons per minute

• 4 gallons per minute

• 5 gallons per minute

• 4.5 gallons per minute

What is the first step in finding the unit rate for the pool filling example?

• Add the fractions

• Subtract the fractions

• Multiply the fractions

• Divide the fractions

In the reading speed example, how many pages can Cade read per minute?

• 1 page per minute

• 2 pages per minute

• 1.25 pages per minute

• 1.5 pages per minute

What should you pay attention to when solving unit rate problems?

• The type of paper used

• The color of the book

• The order of terms in the question

• The size of the fractions