After discovering an abandoned supply map, Emek, Luna, and Nova set out to recover equipment hidden at forest checkpoints. They added fractional distances to plan the safest route, subtracted completed sections from the journey still ahead, multiplied fractional food supplies to prepare enough rations, and divided the remaining water equally among themselves. They checked each calculation before moving on to the next checkpoint. Their accurate fraction operations helped them locate every hidden supply cache and complete the expedition successfully.
Challenges
Challenge 1 of 5
Challenges
Challenge 1 of 4
Hint
Find a common denominator before adding.
To plan the safest route, Emek and Luna added the distances \(\frac{1}{3}\) km and \(\frac{1}{6}\) km. What was the total distance?
\(\frac{1}{2}\) km\(\frac{2}{9}\) km\(\frac{2}{3}\) km\(\frac{1}{9}\) kmCorrect! \(\frac{1}{3}+\frac{1}{6}=\frac{1}{2}\).
Try again. Rewrite the fractions with a common denominator.
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Hint
Multiply the numerators and denominators, then simplify.
Nova prepared rations by multiplying \(\frac{3}{4}\times\frac{2}{5}\). What is the numerator of the product in simplest form?
Correct! The product is \(\frac{3}{10}\).
Try again. Simplify the fraction after multiplying.
Next🎉 Congrats! You got this question!
Hint
Divide by 3 by multiplying by its reciprocal, \(\frac{1}{3}\).
The team had \(\frac{3}{4}\) liter of water left and divided it equally among 3 people. How much water did each person receive?
\(\frac{1}{4}\) liter\(\frac{1}{2}\) liter\(\frac{3}{7}\) liter\(\frac{1}{12}\) literCorrect! \(\frac{3}{4}\div3=\frac{3}{4}\times\frac{1}{3}=\frac{1}{4}\).
Try again. Divide the fraction equally among the 3 people.
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🎉 Congrats! You finished this challenge set!
