Comparing Fractions on Number Lines

This video tutorial teaches how to compare fractions with different numerators and denominators using number lines. It explains the roles of numerators and denominators, the use of comparison signs, and common mistakes students make. The tutorial emphasizes the importance of dividing number lines into equal parts and provides practical examples comparing fractions to the benchmark fraction of one-half.

What is the purpose of using a benchmark fraction like one-half when comparing fractions?

• To make calculations easier

• To have a common reference point

• To avoid using number lines

• To simplify fractions

What does the numerator in a fraction represent?

• The number of parts we have

• The size of each part

• The number of equal parts in a whole

• The total number of parts

Which sign should be used to indicate that one fraction is larger than another?

• Equal to

• Less than

• Greater than

• Not equal to

Why is it incorrect to compare fractions by only looking at the numerators?

• Because numerators are always the same

• Because denominators determine the size of each part

• Because numerators are irrelevant

• Because it makes calculations complex

What is a common mistake when dividing number lines for fractions?

• Using too many divisions

• Ignoring the numerator

• Starting the line at zero

• Not dividing into equal parts based on the denominator

How do you determine if one fraction is larger than another using number lines?

• By looking at the color of the lines

• By counting the number of divisions

• By comparing the length of the lines

• By checking which line has more shading

When comparing three-eighths to one-half, what do you notice on the number line?

• Three-eighths is equal to one-half

• Three-eighths is greater than one-half

• Three-eighths is less than one-half

• Three-eighths is not comparable to one-half

How many parts should the number line be divided into for the fraction one-third?

• Three equal parts

• Six equal parts

• Two equal parts

• Four equal parts

What does the shading on a number line represent when comparing fractions?

• The total number of parts

• The number of divisions

• The size of each part

• The fraction's value

Which fraction is larger: one-third or four-sixths?

• One-third

• Four-sixths

• They are equal

• Cannot be determined