Understanding Multiplication of Fractions

The video tutorial explains how to multiply three fractions by simplifying them first. It demonstrates two examples, showing the process of writing fractions in prime factored form to identify common factors and simplify. The tutorial also covers an alternative method for simplification using multiplication tables. The second example includes negative fractions, highlighting how the product of a negative and positive number results in a positive product. The video emphasizes the importance of simplifying fractions before multiplying to ensure the result is in its simplest form.

What is the first step recommended before multiplying fractions?

• Subtract the fractions

• Convert fractions to decimals

• Simplify the fractions

• Add the fractions

In the first example, what is the prime factorization of the number 8?

• 4 x 2

• 3 x 3

• 2 x 4

• 2 x 2 x 2

What is the product of the numerators in the first example after simplification?

• 21

• 14

• 10

• 7

Which method can be used as an alternative to prime factorization for simplifying fractions?

• Using multiplication tables

• Using addition tables

• Using division tables

• Using subtraction tables

Why is it beneficial to write out the prime factorization when simplifying fractions?

• It helps in organizing work and identifying common factors

• It is required by all math teachers

• It makes the process faster

• It is the only method to simplify fractions

In the second example, what is the sign of the final product when multiplying a negative, a positive, and another negative fraction?

• Undefined

• Zero

• Positive

• Negative

What is the prime factorization of 18 in the second example?

• 3 x 3 x 3

• 3 x 6

• 2 x 3 x 3

• 2 x 9

Which common factor is identified between the numerators and denominators in the second example?

• 5

• 6

• 7

• 4

What is the prime factorization of 15 in the second example?

• 3 x 3

• 2 x 7

• 5 x 5

• 3 x 5

What is the final product of the second example after simplification?

• 3/5

• 4/5

• 2/5

• 5/5