Simplifying Fractions and Prime Factorization

The video tutorial explains how to simplify fractions using two methods: prime factorization and identifying the greatest common factor. It demonstrates these methods with examples, showing how to break down numbers into their prime factors and identify common factors to simplify fractions. The tutorial emphasizes the prime factorization method for beginners, as it clearly identifies all common factors, while also acknowledging the efficiency of using the greatest common factor for those familiar with multiplication tables.

What is the simplest form of a fraction?

• When the numerator and denominator have no common factors

• When the fraction is a whole number

• When the fraction is less than one

• When the numerator is larger than the denominator

What is the prime factorization of 12?

• 2 x 2 x 3

• 1 x 12

• 3 x 4

• 2 x 6

Which of the following is a common factor of 12 and 30?

• 6

• 4

• 5

• 7

What is the simplified form of 12/30 using the greatest common factor?

• 1/2

• 4/5

• 3/5

• 2/5

What is the prime factorization of 36?

• 2 x 2 x 3 x 3

• 2 x 3 x 6

• 3 x 3 x 4

• 1 x 36

How many factors of 2 are there in the prime factorization of 48?

• 5

• 4

• 3

• 2

What is the simplified form of 36/48 using prime factorization?

• 4/5

• 3/4

• 5/6

• 2/3

What is the greatest common factor of 36 and 48?

• 10

• 12

• 8

• 6

What is the simplified form of 36/48 using the greatest common factor?

• 2/3

• 1/2

• 3/4

• 4/5

Which method is preferred for beginners to simplify fractions?

• Using multiplication tables

• Prime factorization

• Guessing

• Using a calculator