Lesson 8 Equivalent Fractions on the Number Line
Let’s use number lines to reason about equivalent fractions.
Warm-up Estimation Exploration: A Shaded Portion
If the entire diagram represents 1 whole, about what fraction is shaded?
Make an estimate that is:
Activity 1 Handy Number Lines
Andre used number lines to find fractions that are equivalent to
Then, he drew three more lines and wrote a fraction for the point on each line:
How did Andre use the number lines to find fractions equivalent to
How can number lines be used to show whether the following fractions are equivalent?
Find three fractions that are equivalent to
Activity 2 Can It Be Done?
Priya wants to find fractions that are equivalent to
, other than . She wonders if she can find equivalent fractions with denominator 9, 10, and 12.
Can it be done? Use number lines to show your reasoning.
on a number line. Then, find two fractions that are equivalent to . How would you use the number line to show that they are equivalent to ?
Can you find an equivalent fraction for
with 100 for the denominator? Explain or show your reasoning.
Which of these could be the fraction that the point represents? Explain your reasoning.