Simplifying Fractions and Prime Factorization

The video tutorial explains how to simplify fractions by using prime factorization. It demonstrates the process with examples, such as simplifying 4/6, 32/40, and 48/72, by identifying and removing common factors from the numerator and denominator. The tutorial emphasizes the importance of prime factorization in simplifying fractions effectively.

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

• Divide the numerator by the denominator

• Add the numerator and denominator

• Multiply the numerator and denominator

• Write out the prime factorization of both the numerator and denominator

In the example of simplifying 4/6, what is the common factor that is simplified?

• 3

• 2

• 4

• 6

When simplifying 32/40, what is the prime factorization of 32?

• 2 * 3 * 5

• 2 * 2 * 2 * 2 * 2

• 2 * 2 * 2 * 3

• 2 * 2 * 3

What is the simplified form of the fraction 32/40?

• 3/4

• 4/5

• 5/6

• 2/3

After simplifying 48/72, what is the resulting fraction?

• 4/5

• 3/4

• 2/3

• 5/6