Simplifying Fractions and Prime Factorization

The video tutorial explains how to multiply three fractions by multiplying the numerators and denominators. It emphasizes the importance of simplifying the result by removing common factors. Two methods are presented: prime factorization and a faster alternative method. The prime factorization method involves breaking down each number into its prime factors to identify common factors, while the alternative method simplifies directly by identifying common factors between numerators and denominators. Both methods lead to the same simplified product, one-sixth.

What is the first step in multiplying three fractions?

• Subtract the numerators from the denominators

• Multiply the numerators and denominators

• Add the numerators and denominators

• Divide the numerators by the denominators

Why is it important to simplify fractions after multiplication?

• To change the fraction to a decimal

• To ensure the fraction is in its simplest form

• To make the fraction more complex

• To make the fraction larger

What is the prime factorization of 15?

• 2 x 7

• 5 x 5

• 3 x 3

• 3 x 5

Which of the following is a prime number?

• 6

• 4

• 5

• 9

What is the prime factorization of 24?

• 2 x 2 x 2 x 3

• 3 x 3 x 3

• 2 x 3 x 4

• 2 x 2 x 3 x 3

How do you simplify a fraction using prime factorization?

• Divide the numerator by the denominator

• Cancel out common factors between numerator and denominator

• Multiply all the factors together

• Add all the factors together

What common factor do 3 and 9 share?

• 5

• 6

• 3

• 2

Which pair of numbers shares a common factor of 5?

• 5 and 15

• 3 and 9

• 4 and 24

• 2 and 8

What is the result of multiplying 1 x 1 x 1?

• 0

• 1

• 2

• 3

Which method is generally faster for simplifying fractions?

• Alternative method without prime factorization

• Prime factorization

• Adding all factors

• Dividing the numerator by the denominator