Simplifying Fractions with Factor Trees

The video tutorial introduces factor trees and demonstrates how to use them to simplify fractions. It begins with an explanation of factor trees and their purpose, followed by examples of creating factor trees for numbers like 36, 24, and 100. The tutorial then applies factor trees to simplify fractions, using examples such as 18/27, 4/24, and 225/100. The process involves breaking down numbers into their prime factors, identifying common factors, and simplifying the fractions accordingly.

What is the first step in creating a factor tree for the number 36?

• Rewrite it as a product of smaller numbers

• Divide it by 2

• List its prime factors

• Multiply it by 2

Which of the following is a prime factor of 36?

• 6

• 3

• 12

• 9

What are the prime factors of 24?

• 2, 2, 2, 2

• 3, 2, 2, 2

• 3, 3, 2

• 2, 3, 4

How can 100 be broken down into prime factors?

• 10 x 10

• 5 x 5 x 2 x 2

• 20 x 5

• 25 x 4

What is the first step in simplifying the fraction 18/27 using factor trees?

• Multiply both numbers by 3

• Create factor trees for both the numerator and the denominator

• Subtract the numerator from the denominator

• Divide both numbers by 2

What are the prime factors of 18?

• 2, 3, 3

• 2, 2, 2

• 2, 2, 3

• 3, 3, 3

What is the simplified form of the fraction 18/27?

• 3/1

• 1/3

• 2/3

• 3/2

What is the simplified form of the fraction 4/24?

• 2/4

• 2/6

• 1/6

• 1/4

What are the prime factors of 225?

• 15 x 15

• 5 x 5 x 3 x 3

• 10 x 10

• 25 x 9

What is the final simplified form of the fraction 225/100?

• 9/4

• 3/2

• 3/4

• 9/2