Understanding Signed Fractions

The video tutorial covers adding and subtracting signed fractions with different denominators. It explains the importance of finding a common denominator, preferably the least common denominator, and demonstrates how to use prime factorization to achieve this. The tutorial includes examples of both addition and subtraction of signed fractions, highlighting the process of rewriting fractions with common denominators and combining numerators.

What is the first step in adding signed fractions with different denominators?

• Subtract the smaller denominator from the larger one

• Find a common denominator

• Multiply the numerators by each other

• Add the numerators directly

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

• By dividing the larger denominator by the smaller one

• By ensuring both denominators have the same prime factors

• By multiplying the numerators by the prime factors

• By adding the prime factors of both denominators

In the example with denominators 20 and 8, what is the least common denominator?

• 24

• 32

• 16

• 40

What is the purpose of moving the negative sign to the numerator when adding fractions?

• To change the fraction to a positive number

• To eliminate the need for a common denominator

• To simplify the fraction

• To make it easier to keep track of the sign

When subtracting signed fractions, what does subtracting a negative fraction equate to?

• Adding a positive fraction

• Subtracting a positive fraction

• Multiplying by a negative fraction

• Dividing by a positive fraction

What is the least common denominator for fractions with denominators 7 and 5?

• 40

• 35

• 30

• 12

In the complex example, what is the least common multiple of 18 and 12?

• 48

• 36

• 30

• 24

Why is it helpful to use prime factorization when determining the least common denominator?

• It simplifies the numerators

• It ensures the denominators are equal

• It eliminates the need for subtraction

• It makes the fractions positive

What is the result of adding -2/36 and -5/36?

• -7/36

• -3/36

• -1/36

• -17/36

How do you handle a negative sign in a fraction when writing it in standard form?

• Place it in front of the fraction

• Ignore it

• Place it in the numerator

• Place it in the denominator