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Un kangourou fait des sauts de 18/5 m. Son petit saute le tiers de cette longueur. Les deux partent du point 0.

Mathematics

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Answer

Baby kangaroo

65\frac{6}{5}

Parent kangaroo

185\frac{18}{5}

Step-by-step solution

4 steps

Here's how to solve Défi 6:

Défi 6:
Un kangourou fait des sauts de 185\frac{18}{5} m. Son petit saute le tiers de cette longueur. Les deux partent du point 0. Placer les points sur la droite numérique à la position... (The end of the question is cut off, but it asks to place the points on the number line at their positions.)

  1. Calculate the parent kangaroo's jump length.

    The parent kangaroo's jump length is given as LP=185L_P = \frac{18}{5} m.

  2. Calculate the baby kangaroo's jump length.

    The baby kangaroo jumps one-third of the parent's length:

    LB=13×LPL_B = \frac{1}{3} \times L_P LB=13×185L_B = \frac{1}{3} \times \frac{18}{5} LB=1×183×5L_B = \frac{1 \times 18}{3 \times 5} LB=1815L_B = \frac{18}{15}

    Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 3:

    LB=18÷315÷3L_B = \frac{18 \div 3}{15 \div 3} LB=65 mL_B = \frac{6}{5} \text{ m}
  3. Determine the positions on the number line after one jump.

    Both kangaroos start at point 0. After one jump:

    • Parent kangaroo's position: P=185P = \frac{18}{5}
    • Baby kangaroo's position: B=65B = \frac{6}{5}
  4. Describe the placement on the number line.

    The number line provided shows divisions between 0 and 1, indicating that each segment represents 15\frac{1}{5}. We need to extend this number line to place the calculated positions.

    • For the baby kangaroo's position B=65B = \frac{6}{5}: This can be written as a mixed number: 1151 \frac{1}{5}. On a number line divided into fifths, this position is at the first mark after the integer 1.
    • For the parent kangaroo's position P=185P = \frac{18}{5}: This can be written as a mixed number: 3353 \frac{3}{5}. On a number line divided into fifths, this position is at the third mark after the integer 3.

    To represent this on a number line:
    Draw a number line extending beyond 3. Mark integers 0, 1, 2, 3, 4.
    Divide each unit segment into 5 equal parts.

    • Mark the baby kangaroo's position at 65\frac{6}{5} (which is the first mark after 1).
    • Mark the parent kangaroo's position at 185\frac{18}{5} (which is the third mark after 3).

    The positions to be marked are:

    • Baby kangaroo: 65\boxed{\frac{6}{5}}
    • Parent kangaroo: 185\boxed{\frac{18}{5}}
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