Elena thought of another way to find equivalent fractions. She wrote:
Analyze Elena’s work. Then discuss these questions with a partner:
How are Elena’s equations related to Andre’s number lines?
How might Elena find other fractions that are equivalent to ? Show 2 examples.
Use Elena’s strategy to find 5 fractions that are equivalent to . Use number lines to check your thinking, if they help.
Activity 2
Look at Elena’s strategy from an earlier activity.
Could her strategy help you know whether 2 fractions are equivalent? Try using it to check the equivalence of the following pairs of fractions. If they are equivalent, write an equation to show it.
and
and
Find all fractions in the list that are equivalent to . Be prepared to explain or show how you know.