Adding and Simplifying Fractions

The video tutorial explains how to evaluate and simplify expressions involving fractions. It covers two examples: simplifying x + y and A + B by finding a common denominator using the least common multiple. The process involves substituting values, finding equivalent fractions, and simplifying the results.

What is the first step in evaluating the expression x + y when x = 4/5 and y = -2/3?

• Convert the fractions to decimals

• Find the least common multiple of the denominators

• Directly add the numerators

• Multiply the fractions

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

Why is it necessary to find a common denominator when adding fractions?

• To make the fractions larger

• To ensure the fractions have the same base for addition

• To convert fractions into whole numbers

• To simplify the fractions before adding

What is the least common denominator of 4/5 and -2/3?

• 3

• 15

• 30

• 5

Tags

CCSS.7.NS.A.1C

After finding a common denominator, what is the next step in adding the fractions 4/5 and -2/3?

• Multiply the numerators

• Divide the numerators

• Add the numerators

• Subtract the numerators

Tags

CCSS.7.NS.A.1C

What is the simplified result of the expression x + y when x = 4/5 and y = -2/3?

• 4/15

• 3/15

• 2/15

• 1/15

Tags

CCSS.7.NS.A.2B

In the second example, what are the given values for a and b?

• a = 12/25, b = 4/10

• a = -12/25, b = -4/10

• a = 12/25, b = -4/10

• a = -12/25, b = 4/10

What is the least common denominator for the fractions -12/25 and -4/10?

• 25

• 10

• 50

• 100

How do you simplify the fraction -44/50?

• Add 2 to both numerator and denominator

• Subtract 2 from both numerator and denominator

• Multiply both numerator and denominator by 2

• Divide both numerator and denominator by 2

Tags

CCSS.7.NS.A.1C

What is the simplified result of the expression A + B when a = -12/25 and b = 4/10?

• -44/50

• -22/25

• -11/25

• -22/50

What is the greatest common factor used to simplify -44/50?

• 2

• 1

• 4

• 5