Prime Factorization and Fraction Simplification

The video tutorial explains how to multiply signed fractions through two examples. The first example involves multiplying a negative fraction by a positive fraction, resulting in a negative product. The process includes simplifying the fractions by identifying common factors through prime factorization. The second example demonstrates multiplying two negative fractions, which results in a positive product. Again, the fractions are simplified using prime factorization to ensure the product is in its simplest form. The tutorial emphasizes the importance of simplification before multiplication to achieve accurate results.

What is the sign of the product when multiplying a negative number by a positive number?

• Zero

• Negative

• Undefined

• Positive

What is the first step in simplifying fractions before multiplication?

• Adding the fractions

• Subtracting the fractions

• Finding the common denominator

• Identifying common factors

Which of the following is a prime factorization of 4?

• 4 x 1

• 1 x 4

• 2 x 3

• 2 x 2

In the first example, what is the simplified product of the fractions?

• 10/77

• 4/22

• 5/11

• 2/7

What is the sign of the product when multiplying two negative numbers?

• Undefined

• Zero

• Negative

• Positive

What is the prime factorization of 21?

• 2 x 11

• 3 x 7

• 5 x 4

• 3 x 3

In the second example, what is the simplified product of the fractions?

• 3/7

• 24/27

• 21/28

• 27/32

Why is it important to simplify fractions before multiplying?

• To change the sign of the product

• To ensure the product is in simplest form

• To make the numbers larger

• To avoid using prime numbers

Which number is a common factor in the second example?

• 9

• 7

• 11

• 5

What is the prime factorization of 28?

• 5 x 5

• 3 x 9

• 2 x 2 x 7

• 4 x 6