Understanding Complex Fractions and Unit Rates

This video tutorial covers the concept of complex fractions and how to convert them into unit rates. It explains that complex fractions are fractions with numerators, denominators, or both as fractions themselves. The tutorial demonstrates solving these fractions by multiplying by the reciprocal instead of dividing. It includes examples and word problems to illustrate the process, emphasizing the goal of achieving a denominator of one. The video also provides practice problems to reinforce the learning objectives.

What is a complex fraction?

• A fraction with a decimal point

• A fraction that cannot be simplified

• A fraction where the numerator, denominator, or both are fractions

• A fraction with a whole number as the numerator

How do you handle division in complex fractions?

• By adding the fractions

• By subtracting the fractions

• By multiplying by the reciprocal

• By converting to decimals

What is the reciprocal of 3/5?

• 3/5

• 5/3

• 1/3

• 1/5

Why do we convert mixed numbers to improper fractions?

• To make them easier to add

• To simplify them

• To make multiplication easier

• To convert them to decimals

What is the cost per yard if 2.5 yards of fabric cost $15?

• $8 per yard

• $7 per yard

• $6 per yard

• $5 per yard

How many spirit buttons are made per hour if 490 buttons are made in 3.5 hours?

• 140 buttons per hour

• 150 buttons per hour

• 160 buttons per hour

• 170 buttons per hour

What is the first step in solving a word problem involving complex fractions?

• Convert all numbers to decimals

• Add all fractions together

• Identify the unit rate

• Convert mixed numbers to improper fractions

Josiah jogs 1 1/3 miles in 1/4 of an hour. What is his average speed in miles per hour?

• 4 miles per hour

• 5 miles per hour

• 6 miles per hour

• 5 1/3 miles per hour

What is the improper fraction form of 1 1/3?

• 3/5

• 4/3

• 3/4

• 5/3

Why is it important to convert improper fractions back to mixed numbers in word problems?

• To make them easier to add

• To simplify the final answer

• To make them easier to subtract

• To convert them to decimals