Exploring Complex Fractions and Unit Rates

This video tutorial covers complex fractions and their application in finding unit rates and ratios. It begins with an introduction to complex fractions, followed by a review of unit rates. The tutorial then explains how to use complex fractions to find unit rates, providing several example problems. Students are encouraged to practice with provided problems and summarize their learning.

What is the main topic discussed in the video?

• Simple fractions

• Whole numbers

• Complex fractions

• Decimal fractions

What is a unit rate?

• A ratio with a numerator of 1

• A ratio with a denominator of 1

• A ratio with both numerator and denominator as whole numbers

• A ratio with a fraction in the numerator

How do you convert a ratio to a unit rate?

• Multiply both numerator and denominator by the same number

• Subtract the same number from both numerator and denominator

• Divide both numerator and denominator by the same number

• Add the same number to both numerator and denominator

In the example of the pickup truck, what is the first step to find the unit rate?

• Convert the mixed number to an improper fraction

• Multiply the numerator by the denominator

• Add the numerator and the denominator

• Subtract the numerator from the denominator

What is the reciprocal of 7/3?

• 1/3

• 1/7

• 7/3

• 3/7

What is the unit rate for the pickup truck's fuel efficiency?

• 45 miles per gallon

• 19 and 2/7 miles per gallon

• 7 miles per gallon

• 3 miles per gallon

In Susan's running example, what is the unit rate we are looking for?

• Miles per hour

• Miles per minute

• Minutes per mile

• Hours per mile

What is the improper fraction form of 3 and 2/3?

• 2/3

• 3/11

• 11/3

• 3/2

What is the unit rate for Susan's running speed?

• 11/90 miles per minute

• 90/11 miles per minute

• 3 miles per minute

• 2/3 miles per minute

What is the unit rate for the snail's speed?

• 15/16 inches per minute

• 16/15 inches per minute

• 3/4 inches per minute

• 4/5 inches per minute