Simplifying Fractions and Prime Factorization

The video tutorial explains how to simplify fractions by reducing them to their lowest terms. It covers two methods: prime factorization and division. The prime factorization method involves breaking down the numerator and denominator into their prime factors to identify common factors. The division method requires recognizing the greatest common factor to divide both the numerator and denominator. The tutorial provides examples, such as simplifying 3/9 and 24/36, to illustrate these methods. It concludes with tips on effectively using these techniques.

What is the only common factor between the numerator and denominator when a fraction is in its simplest form?

• Three

• Zero

• One

• Two

What is the prime factorization of the number 9?

• 2 x 4

• 3 x 3

• 1 x 9

• 3 x 1

When simplifying 3/9 using prime factorization, what is the resulting fraction?

• 2/3

• 1/3

• 1/2

• 3/3

What is the greatest common factor used to simplify 3/9 using division?

• 3

• 2

• 1

• 9

What is the prime factorization of 24?

• 2 x 2 x 2 x 3

• 3 x 3 x 2

• 2 x 3 x 4

• 2 x 2 x 3

What is the prime factorization of 36?

• 2 x 2 x 2 x 3

• 2 x 3 x 6

• 3 x 3 x 4

• 2 x 2 x 3 x 3

After simplifying 24/36 using prime factorization, what is the resulting fraction?

• 1/2

• 4/5

• 3/4

• 2/3

What is the first common factor used to simplify 24/36 using division?

• 3

• 2

• 4

• 6

What is the greatest common factor of 24 and 36?

• 12

• 10

• 8

• 6

What is the final simplified form of 24/36 using division?

• 2/3

• 1/2

• 3/4

• 4/5