Reducing Fractions and Prime Factorization

The video tutorial from Mooo Math explains how to reduce fractions using a factor tree method. It begins with an introduction to the topic and provides a quick example of reducing the fraction 16/120. The instructor demonstrates the process of creating factor trees for both the numerator and the denominator, identifying prime factors, and canceling common factors. The video also outlines the rules for this method and provides a detailed walkthrough of the example, emphasizing the importance of prime factorization and the fun of canceling common factors to simplify fractions.

What is the first step in Method 2 for reducing fractions?

• Create a factor tree

• Multiply the numerator and denominator

• Divide the numerator by the denominator

• Add the numerator and denominator

In the example 16/120, what is the prime factorization of 16?

• 2 * 2 * 4

• 2 * 8

• 4 * 4

• 2 * 2 * 2 * 2

What is the purpose of creating a factor tree?

• To list all prime factors of a number

• To find the greatest common divisor

• To add numbers together

• To multiply numbers together

What is the prime factorization of 120?

• 3 * 4 * 10

• 2 * 5 * 12

• 10 * 12

• 2 * 2 * 2 * 3 * 5

Why is it important to underline prime numbers in a factor tree?

• To highlight numbers that are divisible by 10

• To identify numbers that can be further factored

• To separate them from composite numbers

• To mark numbers that are already in their simplest form

What do you do after listing all the factors in the numerator and denominator?

• Multiply them

• Cancel out common factors

• Add them together

• Divide them

What is the result of canceling out all common factors in the example?

• A new fraction with a larger numerator

• A fraction with a numerator of 1

• A fraction with a denominator of 1

• A reduced fraction

What is the significance of the number 1 in the canceling process?

• It is used to multiply the remaining factors

• It represents the smallest prime number

• It indicates a factor that can be ignored

• It shows that a factor has been completely canceled

What is the reduced form of the fraction 16/120?

• 4/30

• 2/15

• 8/60

• 1/10

What is the final step in reducing a fraction using Method 2?

• Add the remaining factors

• Multiply the remaining factors

• Subtract the remaining factors

• Divide the remaining factors