Fractions and Mixed Numbers Concepts

The video tutorial explains how to multiply signed mixed numbers by first converting them into improper fractions. It demonstrates simplifying the fractions using prime factorization and identifying common factors. The tutorial covers determining the sign of the product based on the signs of the numbers involved. Two examples are provided: one with a negative product and another with a positive product. The second example also includes converting the resulting improper fraction back into a mixed number.

What is the first step in multiplying signed mixed numbers?

• Divide the fractions

• Subtract the fractions

• Add the fractions

• Convert them to improper fractions

How do you simplify fractions before multiplying?

• By dividing the numerators

• By adding the numerators

• By subtracting the denominators

• By identifying common factors

What is the prime factorization of 15?

• 3 * 3

• 3 * 5

• 2 * 7

• 5 * 5

What is the result of multiplying a negative fraction by a positive fraction?

• Negative

• Positive

• Undefined

• Zero

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

• -9

• 9

• 0

• 1

What happens when you multiply two negative fractions?

• The product is undefined

• The product is negative

• The product is positive

• The product is zero

What is the improper fraction form of 1 and 1/15?

• 16/15

• 15/16

• 1/15

• 15/1

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

• Add the numerator to the denominator

• Multiply the numerator by the denominator

• Divide the numerator by the denominator

• Subtract the denominator from the numerator

What is the mixed number form of 8/3?

• 3 and 2/3

• 2 and 2/3

• 3 and 1/3

• 2 and 1/3

What is the remainder when 8 is divided by 3?

• 3

• 0

• 2

• 1