Simplifying Fractions and Factorization

The video tutorial explains how to simplify fractions to their lowest terms using two methods: prime factorization and division. It begins with an introduction to the concept of simplifying fractions, followed by detailed examples using both methods. The prime factorization method involves breaking down numbers into their prime factors to identify common factors, while the division method involves dividing the numerator and denominator by common factors until no further simplification is possible. The tutorial provides two examples to illustrate both methods, highlighting their benefits and challenges.

What is the main goal when simplifying a fraction?

• To convert it into a decimal

• To make the denominator smaller

• To ensure the only common factor is one

• To make the numerator larger

What is the prime factorization of 60?

• 3 x 3 x 5

• 2 x 2 x 3 x 5

• 2 x 2 x 2 x 5

• 2 x 3 x 5

Which common factors are found in both 60 and 84?

• 3 and 5

• 2 and 3

• 3 and 7

• 2 and 5

What is the simplified form of 60/84 using the division method?

• 7/8

• 8/9

• 5/7

• 6/7

What is the prime factorization of 120?

• 2 x 2 x 2 x 3 x 5

• 2 x 2 x 3 x 5

• 3 x 3 x 5

• 2 x 3 x 5

Which numbers are common factors in both 120 and 135?

• 2 and 5

• 3 and 5

• 2 and 3

• 3 and 7

What is the simplified form of 120/135 using the prime factorization method?

• 5/6

• 7/8

• 9/10

• 8/9

What is the simplified form of 120/135 using the division method?

• 8/9

• 5/6

• 7/8

• 9/10

Which method is generally quicker for simplifying fractions?

• Prime factorization

• Neither method is quick

• Both are equally quick

• Division method

What is a benefit of using the prime factorization method?

• It requires no calculations

• It shows all common factors

• It is easier to understand

• It is faster