Planet X is 2/3 of a light-year away from Earth. Planet Y is 1/2 of a light-year away from Earth. How much farther away is Planet X?Write your answer as a fraction or as a whole or mixed number.
Question
Planet X is 2/3 of a light-year away from Earth. Planet Y is 1/2 of a light-year away from Earth. How much farther away is Planet X?Write your answer as a fraction or as a whole or mixed number.
Solution
Planet X is 2/3 of a light-year away and Planet Y is 1/2 of a light-year away. To find out how much farther Planet X is, you subtract the distance of Planet Y from Planet X.
Here's the step-by-step calculation:
- Write down the distances: Planet X = 2/3 light-year, Planet Y = 1/2 light-year.
- Subtract the distance of Planet Y from Planet X: (2/3) - (1/2).
To subtract these fractions, you need to find a common denominator. The least common denominator between 2 and 3 is 6.
- Convert the fractions to have the common denominator: Planet X = 4/6 light-year, Planet Y = 3/6 light-year.
- Now subtract the distances: (4/6) - (3/6) = 1/6 light-year.
So, Planet X is 1/6 of a light-year farther away from Earth than Planet Y.
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