Emek, Luna, and Nova followed an old forest trail leading to a forgotten ranger station. Each wooden bridge had a lock that opened only after a correct fraction operation. At the first bridge, they added two fractions. At the next, they subtracted fractions, then multiplied fractions at the third bridge, and finally divided fractions at the last crossing. They checked every answer before moving on. Solving each fraction operation correctly unlocked every bridge, and the friends safely reached the ranger station before sunset.
Challenges
Challenge 1 of 5
Challenges
Challenge 1 of 4
Hint
Add the numerators because the denominators are the same.
At the first bridge, the lock shows the fraction addition \(\frac{1}{4}+\frac{2}{4}\). Which answer unlocks the bridge?
\(\frac{2}{4}\)\(\frac{3}{4}\)\(\frac{3}{8}\)\(\frac{1}{2}\)Correct! \(\frac{1}{4}+\frac{2}{4}=\frac{3}{4}\).
Try again. Keep the denominator the same and add the numerators.
Next🎉 Congrats! You got this question!
Hint
Subtract the numerators because the denominators are the same.
At the second bridge, the lock shows \(\frac{7}{9}-\frac{2}{9}\). What is the numerator of the simplified result?
Correct! The simplified result is \(\frac{5}{9}\).
Try again. Subtract the numerators and keep the denominator 9.
Next🎉 Congrats! You got this question!
Hint
Dividing by \(\frac{1}{5}\) asks how many fifths fit into \(\frac{3}{5}\).
At the last bridge, Nova solves \(\frac{3}{5} \div \frac{1}{5}\) and says the answer is 3. Is Nova correct?
Yes, because \(\frac{3}{5} \div \frac{1}{5}=3\).No, the answer is \(\frac{3}{25}\).No, the answer is \(\frac{2}{5}\).No, the answer is \(\frac{15}{1}\).Correct! Three groups of \(\frac{1}{5}\) fit into \(\frac{3}{5}\).
Try again. Rewrite the division as multiplication by the reciprocal.
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🎉 Congrats! You finished this challenge set!
