While exploring Dinosaur Valley, Emek and Luna found an ancient map with clues to hidden fossil sites. One path was marked with 2/3 of the route, while another map showed the same path as 4/6. At first the labels looked different, but Emek realized they represented the same portion of the map. Luna followed the matching route, and together they reached the correct fossil site. They uncovered the missing fossils and proudly brought them back to Dr. Dino.
Challenges
Challenge 1 of 5
Challenges
Challenge 1 of 4
Hint
Simplify 4/6 by dividing the numerator and denominator by the same number.
Emek says that 2/3 and 4/6 show the same part of the map. Which explanation is correct?
The fractions cannot be compared because the denominators are different.4/6 is larger because 4 is greater than 2.2/3 is larger because 3 is smaller than 6.4/6 simplifies to 2/3, so they are equivalent.Correct! Dividing 4 and 6 by 2 gives 2/3, so the fractions are equivalent.
Try simplifying 4/6 before comparing the fractions.
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Hint
Find a fraction with denominator 9 that is equivalent to 2/3.
A new map divides the same route into 9 equal parts. To show the same portion as 2/3, how many of the 9 parts should be marked?
Correct! Marking 6 of the 9 parts shows the same portion.
Multiply both the numerator and denominator of 2/3 by the same number.
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Hint
Check whether 5/6 can be simplified to 2/3.
Another explorer says that 5/6 is equivalent to 2/3 because both fractions have a denominator of 6 or less. Is the explorer correct?
No, because 5/6 does not simplify to 2/3.Yes, because both fractions have numerators greater than 1.Yes, because 5 is close to 4.No, because 2/3 is equal to 2/6.Correct! 5/6 cannot be simplified to 2/3, so they are not equivalent.
Remember that equivalent fractions represent the same part of a whole.
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🎉 Congrats! You finished this challenge set!
