Understanding Fraction Addition

The video tutorial explains how to add fractions, focusing on the importance of having a common denominator. It covers adding negative fractions by rewriting them with the negative sign in the numerator for easier calculation. The tutorial also demonstrates simplifying fractions by identifying common factors. In a second example, it shows how to find the least common denominator using prime factorization, ensuring both fractions have the same denominator before adding. The video concludes with a reminder that the negative sign is typically placed in front of the fraction in the final answer.

What is the first step in adding fractions with a common denominator?

• Divide the numerators

• Subtract the denominators

• Add the numerators

• Multiply the numerators

Why is it helpful to rewrite negative fractions with the negative sign in the numerator?

• It changes the value of the fraction

• It makes addition easier

• It simplifies the fraction

• It makes multiplication easier

What common factor is used to simplify the fraction -2/8?

• 3

• 4

• 2

• 5

What is the least common denominator of 3 and 9?

• 15

• 12

• 9

• 6

How can you determine the least common denominator using prime factorization?

• By ensuring both denominators have the same prime factors

• By multiplying the numerators

• By adding the prime factors

• By dividing the denominators

What must be done to the fraction -1/3 to obtain a common denominator with -2/9?

• Multiply by 2

• Add 3 to the numerator

• Subtract 1 from the denominator

• Multiply by 3

What is the result of adding -3/9 and -2/9?

• -6/9

• -4/9

• -5/9

• -1/9

Why is it common to express the negative sign in front of the fraction?

• It changes the fraction's value

• It is a more standard representation

• It simplifies the fraction

• It makes multiplication easier

What is the prime factorization of 9?

• 1 x 9

• 3 x 3

• 3 x 2

• 2 x 4

What is the final simplified form of the sum -3/9 + -2/9?

• -5/9

• -1/3

• -5/18

• -1/9