Understanding Fractions: Simplification and Conversion

The video tutorial explains how to simplify fractions by finding the greatest common factor and using prime factorization. It also covers converting improper fractions to mixed numbers, emphasizing that a fraction is in its simplest form when the only common factor between the numerator and denominator is one. The tutorial provides step-by-step methods for both simplification and conversion processes.

Which of the following is a characteristic of an improper fraction?

• The numerator is less than the denominator

• The numerator is equal to the denominator

• The numerator is greater than or equal to the denominator

• The fraction is less than one

What is the first step in simplifying a fraction?

• Identify the greatest common factor

• Multiply the numerator and denominator

• Convert to a decimal

• Find the least common multiple

What is the greatest common factor of 27 and 6?

• 6

• 3

• 9

• 2

How can prime factorization help in simplifying fractions?

• By finding the least common multiple

• By identifying common prime factors

• By converting fractions to decimals

• By adding the numerators

What is the prime factorization of 27?

• 3 * 9

• 2 * 3

• 3 * 3 * 3

• 3 * 3

What does a fraction bar represent?

• Multiplication

• Division

• Subtraction

• Addition

How many times does 2 go into 9 when converting 9/2 to a mixed number?

• 3 times

• 4 times

• 5 times

• 6 times

What is the remainder when 9 is divided by 2?

• 0

• 1

• 2

• 3

What is the mixed number form of 9/2?

• 4 and a third

• 5 and a half

• 3 and a half

• 4 and a half

What is the main takeaway from the video?

• Fractions should always be expressed as decimals

• There are multiple methods to simplify fractions and convert them

• Improper fractions cannot be converted to mixed numbers

• Fractions can only be simplified using prime factorization