A butterfly flies from a point p 2¾ towards north and 1⅔ km towards so...
Butterfly's Movement Calculation
To determine the butterfly's final position from point P after its movements, we can break down the journey:
- Initial Movement: The butterfly flies 2¾ km towards the north.
- Subsequent Movement: It then flies 1⅔ km towards the south.
Now, let's convert the mixed numbers into improper fractions:
- 2¾ km = 11/4 km (north)
- 1⅔ km = 5/3 km (south)
Next, we need to find a common denominator to simplify our calculations. The least common multiple of 4 and 3 is 12.
- 11/4 km = 33/12 km (north)
- 5/3 km = 20/12 km (south)
Now we can calculate the net displacement:
- Net Movement: 33/12 km (north) - 20/12 km (south) = 13/12 km
This can be converted back to a mixed number:
- 13/12 km = 1¼ km (north)
Thus, the butterfly is now 1¼ km north of point P.
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