Navigating Negative Fraction Operations

In this video, Tiffany explains how to handle operations with negative fractions. She covers the necessary skills for adding, subtracting, multiplying, and dividing both fractions and integers. The video includes four examples: adding negative fractions, subtracting negative fractions, multiplying fractions without negatives, and dividing negative fractions. Each example is broken down into steps, emphasizing the importance of common denominators and treating numerators as separate integer problems. The video concludes with a reminder to apply regular fraction rules when no negatives are present.

What are the prerequisites for solving negative fraction operations?

• Understanding how to add, subtract, multiply, and divide positive fractions and integers.

• Ability to solve linear equations.

• Knowing how to solve quadratic equations.

• Familiarity with calculus concepts.

What is the first step when adding fractions with different denominators?

• Add the numerators directly.

• Multiply the fractions.

• Find a common denominator.

• Subtract the smaller fraction from the larger one.

In Example 1, what is the common denominator used for the fractions 5/8 and 6/10?

• 10

• 40

• 20

• 80

How do you handle double negatives when subtracting fractions?

• Ignore one of the negatives.

• Convert the double negative to a positive.

• Add the fractions directly.

• Multiply the fractions.

What is the simplified result of -9/15 - (-1/5)?

• -2/5

• -1/3

• -3/5

• -1/2

What should you remember when multiplying fractions?

• Convert to improper fractions.

• Add the numerators and denominators.

• Multiply straight across the numerators and denominators.

• Find a common denominator first.

What is the product of 1/9 and 2/2?

• 1/18

• 2/9

• 2/18

• 1/9

What is the rule for dividing fractions?

• Keep it, change it, flip it.

• Add the fractions first.

• Multiply the fractions directly.

• Subtract the fractions first.

What is the result of dividing -4/15 by 1/5?

• -5/15

• -1/3

• -4/3

• -20/15

How do you simplify the improper fraction -20/15?

• -4/3

• -1/3

• -5/3

• -2/3