Simplifying Fractions with Prime Factorization

This video tutorial demonstrates how to simplify a fraction using prime factorization. It begins with an introduction to the concept, followed by a detailed walkthrough of finding the prime factors of the numbers 18 and 60. The tutorial then explains how to identify and cancel common factors in the numerator and denominator, leading to the final simplification of the fraction.

What is the first step in simplifying a fraction using prime factorization?

• Subtracting the numerator from the denominator

• Performing prime factorization of the numerator and denominator

• Finding the greatest common divisor

• Adding the numerator and denominator

Which two numbers multiply to give 18?

• 2 and 9

• 3 and 6

• 2 and 8

• 4 and 5

What is the prime factorization of 18?

• 2 x 9

• 3 x 6

• 2 x 2 x 3

• 2 x 3 x 3

Which of the following is a prime number?

• 3

• 15

• 9

• 4

What is the prime factorization of 60?

• 2 x 2 x 15

• 2 x 5 x 6

• 3 x 3 x 10

• 2 x 3 x 2 x 5

What should you do after finding the prime factors of the numerator and denominator?

• Add the prime factors together

• Multiply the prime factors

• Identify and cancel out common factors

• Divide the prime factors

What happens when you divide a number by itself?

• The result is the number itself

• The result is zero

• The result is one

• The result is undefined

Which common factor can be canceled out from both the numerator and denominator in this example?

• 2

• 5

• 4

• 7

What is left in the numerator after canceling out the common factors?

• 10

• 5

• 3

• 2

What is the simplified form of the fraction 18/60?

• 3/10

• 1/3

• 3/5

• 2/5