Exploring Adding and Subtracting Rational Expressions

The video tutorial covers lesson 9.5, focusing on comparing fractions with related denominators. It begins with an introduction to the lesson and explains why fractions with the same denominators are easier to compare. The teacher uses visual models to demonstrate how to compare fractions with different denominators by creating equivalent fractions. The lesson concludes with practical applications and instructions for homework, emphasizing the importance of understanding equivalent fractions for easier comparison.

Which set of fractions is easier to compare?

• 3/7 and 4/9

• 3/5 and 8/10

• 1/4 and 3/5

• 2/8 and 5/8

Why is it easier to compare fractions with the same denominator?

• Because the numerators are the same

• Because the fractions represent the same whole

• Because the pieces are of the same size

• Because the fractions are smaller

What does the numerator tell us in a fraction?

• How many pieces are shaded

• The total number of pieces

• How many pieces are not shaded

• How big each piece is

To make fractions easier to compare, what should their denominators be?

• Different

• Prime numbers

• The same

• Multiples of ten

How can we change a fraction to have a different denominator?

• By subtracting from the numerator

• By multiplying the denominator

• By adding to the numerator

• By dividing the denominator

What is the result of doubling the pieces in 1/4?

• 2/4

• 2/8

• 1/8

• 4/8

Which family ate more of the pie, Henry's or Anya's?

• Both ate the same amount

• It cannot be determined

• Anya's

• Henry's

What does multiplying the numerator and denominator by the same number do to a fraction?

• Makes it easier to compare

• Makes it a whole number

• Changes its value

• None of the above

What is an equivalent fraction of 1/4 when the denominator is changed to 8?

• 1/8

• 2/8

• 4/8

• 8/8

In the workbook problem, what operation is used to change the denominators to be the same?

• Division

• Subtraction

• Addition

• Multiplication