Comparing and Understanding Fractions

The video tutorial explains how to compare fractions by first reviewing methods for fractions with the same denominator and numerator. It introduces the concept of benchmark fractions, such as 0, 1/2, and 1, to compare fractions with different denominators or numerators. Practical examples, like comparing the amount of peanuts or socks, are used to illustrate these concepts. The tutorial emphasizes understanding the size of fractions relative to benchmarks to determine which is greater or smaller.

If two fractions have the same denominator, how do you determine which is larger?

• Compare the denominators

• Use a number line

• Convert them to decimals

• Compare the numerators

What happens to the size of a fraction when the denominator increases, assuming the numerator stays the same?

• The fraction becomes larger

• The fraction becomes smaller

• The fraction stays the same

• The fraction becomes negative

What are benchmark fractions used for?

• To subtract fractions

• To multiply fractions

• To add fractions

• To compare fractions with different denominators

Which of the following is a benchmark fraction?

• 1/4

• 1/3

• 1/5

• 1/2

In the example comparing 2/6 and 2/3, which fraction is larger?

• Cannot be determined

• 2/6

• 2/3

• They are equal

Why is 2/6 less than 2/3?

• Because 2/3 is closer to 1

• Because 6 is less than 3

• Because 2/6 is closer to 1/2

• Because 2/6 is closer to 0

In the example with the peanuts, who buys more peanuts?

• Allan

• Carrie

• Cannot be determined

• They buy the same amount

In Chris's sock drawer, what fraction of the socks are white?

• 2/8

• 3/4

• 1/2

• 2/3

Which fraction is smaller: 2/3 or 2/8?

• 2/3

• 2/8

• They are equal

• Cannot be determined

Using a number line, where would 2/8 be placed in comparison to 2/3?

• To the left of 2/3

• To the right of 2/3

• At the same point as 2/3

• Cannot be placed