Simplifying Fractions and Methods

This video tutorial explains how to simplify fractions by removing common factors from the numerator and denominator. It introduces two methods: prime factorization and divisibility. The video provides examples of both simplified and non-simplified fractions, demonstrating how to use each method to achieve the simplest form. The tutorial concludes with an advanced example, showing the application of both methods to simplify a complex fraction.

What is a simplified fraction?

• A fraction with a denominator larger than the numerator

• A fraction with no common factors other than one between the numerator and denominator

• A fraction with a numerator larger than the denominator

• A fraction with common factors between the numerator and denominator

Which of the following fractions is not simplified?

• 7/8

• 1/2

• 3/5

• 2/4

What is the first step in the prime factorization method?

• Divide the numerator and denominator by two

• Factor the numerator and denominator into prime factors

• Add the numerator and denominator

• Multiply the numerator and denominator

In the divisibility method, what do you do after identifying a common factor?

• Subtract the common factor from the numerator and denominator

• Divide the numerator and denominator by the common factor

• Add the common factor to the numerator and denominator

• Multiply the numerator and denominator by the common factor

What is the simplified form of 4/6 using the prime factorization method?

• 3/4

• 2/3

• 1/2

• 1/3

Using the divisibility method, what is the simplified form of 4/6?

• 2/3

• 1/3

• 3/4

• 1/2

What is the simplified form of 3/15 using the prime factorization method?

• 3/5

• 1/3

• 2/5

• 1/5

Using the divisibility method, what is the simplified form of 3/15?

• 1/3

• 1/5

• 3/5

• 2/5

What is the simplified form of 72/90 using the prime factorization method?

• 3/5

• 4/5

• 1/5

• 2/5

Using the divisibility method, what is the simplified form of 72/90?

• 2/5

• 3/5

• 1/5

• 4/5