Operations with Fractions and Negatives

The video tutorial explains how to perform division involving signed mixed numbers by converting them into improper fractions and then changing the division into multiplication by using reciprocals. Two examples are provided to illustrate the process, including simplification steps and conversion of improper fractions to mixed numbers. The tutorial emphasizes understanding common factors and the impact of negative signs in multiplication.

What is the first step in dividing signed mixed numbers?

• Subtract the numbers

• Add the numbers

• Multiply the numbers

• Convert them to improper fractions

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

• Divide the numerator by the denominator

• Multiply the whole number by the numerator

• Add the whole number to the numerator

• Multiply the whole number by the denominator and add the numerator

What is the reciprocal of 9/20?

• 1/9

• 1/20

• 9/20

• 20/9

What is the common factor between 6 and 20?

• 10

• 5

• 3

• 2

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

• Undefined

• Zero

• Negative

• Positive

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

• Divide the numerator by the denominator

• Subtract the denominator from the numerator

• Add the numerator to the denominator

• Multiply the numerator by the denominator

What is the first step in the second example?

• Subtract the fractions

• Add the fractions

• Multiply the fractions

• Convert to improper fractions

What is the reciprocal of -10/9?

• 10/9

• -10/9

• -9/10

• 9/10

What is the result of multiplying two negative numbers?

• Positive

• Negative

• Zero

• Undefined

What is the mixed number form of 12/5?

• 3 and 1/5

• 3 and 2/5

• 2 and 2/5

• 2 and 1/5