Understanding Multiplication of Fractions

The video tutorial explains how to multiply three fractions by first simplifying them. It involves writing numerators and denominators in prime factored form to identify common factors. The process is demonstrated with two examples, including one with a negative product. The tutorial emphasizes that multiplying three fractions is similar to multiplying two, with the key step being simplification through common factors.

What is the first step in multiplying three fractions?

• Add the numerators and denominators.

• Convert all numbers to decimals.

• Multiply the fractions directly.

• Simplify by using prime factorization.

What is the prime factorization of the number 9?

• 3 times 3

• 2 times 4

• 5 times 2

• 3 times 5

How many factors of 2 are there in the prime factorization of 24?

• Four

• Three

• Two

• One

What is the prime factorization of 15?

• 3 times 5

• 2 times 7

• 5 times 5

• 3 times 3

Which of the following is a common factor in the first example?

• 7

• 6

• 2

• 8

What is the simplified form of the first example's product?

• Three-fourths

• One-third

• Two-thirds

• One-half

In the second example, what is the sign of the final product?

• Positive

• Undefined

• Negative

• Zero

What is the prime factorization of 25?

• 4 times 6

• 3 times 8

• 5 times 5

• 2 times 12

Which number is a prime factor of 11?

• 11

• 5

• 3

• 2

What is the product of the numerators in the second example?

• Twelve

• Six

• Eight

• Ten