Fraction Operations and Prime Factorization

The video tutorial explains how to multiply fractions by multiplying the numerators and denominators. It emphasizes simplifying fractions before multiplying by identifying common factors and using prime factorization. Two examples are provided: the first demonstrates basic simplification and multiplication, while the second involves more complex fractions, including converting an improper fraction to a mixed number.

What is the first step in multiplying fractions?

• Subtract the numerators from the denominators

• Divide the numerators by the denominators

• Multiply the numerators and denominators

• Add the numerators and denominators

Why is it recommended to simplify fractions before multiplying?

• To make the numbers larger

• To avoid complex calculations later

• To make the fractions equal

• To ensure the result is a whole number

What is the prime factorization of 6?

• 2 x 2

• 3 x 3

• 2 x 3

• 5 x 1

In the first example, what is the simplified form of 2/3 x 6/7?

• 4/7

• 12/21

• 3/7

• 6/14

What is the prime factorization of 14?

• 5 x 7

• 2 x 3

• 3 x 5

• 2 x 7

In the second example, what is the product of the numerators after simplification?

• 30

• 24

• 18

• 12

What is the denominator in the final product of the second example?

• 7

• 9

• 5

• 3

How do you convert an improper fraction to a mixed number?

• Divide the numerator by the denominator

• Add the numerator to the denominator

• Subtract the denominator from the numerator

• Multiply the numerator by the denominator

What is the mixed number form of 24/5?

• 4 and 1/5

• 4 and 4/5

• 5 and 1/5

• 5 and 4/5

Which of the following is true about the fraction 24/5?

• It is a whole number

• It is a proper fraction

• It is an improper fraction

• It is a mixed number