Comparing and Visualizing Fractions

This video tutorial teaches how to compare fractions with different numerators and denominators using number lines. It explains the concept of benchmark fractions, particularly focusing on the fraction one. The tutorial covers how to identify fractions greater than one and how to use comparison signs. It also demonstrates using number lines to compare fractions like one-third and three-halves to the benchmark fraction one.

What is the purpose of using number lines when comparing fractions?

• To visualize the size of fractions relative to each other

• To multiply fractions

• To add fractions easily

• To convert fractions to decimals

Which of the following fractions is equal to one?

• 2/3

• 4/5

• 3/3

• 5/4

If a fraction has a numerator larger than its denominator, what can be said about the fraction?

• It is greater than one

• It is equal to one

• It is less than one

• It is a negative fraction

What does the open side of a comparison sign indicate?

• Equal fractions

• The larger fraction

• Fractions that cannot be compared

• The smaller fraction

What is the first step in comparing fractions using number lines?

• Convert fractions to decimals

• Create number lines illustrating the fractions

• Add the fractions together

• Multiply the fractions

Why are benchmark fractions like 1 used in comparisons?

• They are used to multiply fractions

• They convert fractions to whole numbers

• They simplify the addition of fractions

• They help in understanding the relative size of fractions

How many equal pieces are needed for the fraction 9/8 on a number line?

• 7

• 6

• 9

• 8

When comparing 1/3 and 3/2 to the benchmark fraction 1, which statement is true?

• 3/2 is less than 1

• 1/3 is less than 1

• 1 is greater than 3/2

• 1/3 is greater than 1

How should a number line be divided for the fraction 1/3?

• Into eighths

• Into thirds

• Into halves

• Into quarters

What is the result of shading three halves on a number line?

• It is greater than one

• It is equal to three

• It is equal to one

• It is less than one