Planet X is 1/6 of a light-year away from Earth. Planet Y is 1/12 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.
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Planet X is 1/6 of a light-year away from Earth. Planet Y is 1/12 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.
To find out how much farther away Planet X is compared to Planet Y, we need to subtract the distance of Planet Y from the distance of Planet X.
1. Distance of Planet X: ( frac{1}{6} ) of a light-year.
2. Distance of Planet Y: ( frac{1}{12} ) of a light-year.
Now, we need to perform the subtraction:
[
frac{1}{6} – frac{1}{12}
]
To subtract these fractions, we need a common denominator. The least common multiple of 6 and 12 is 12.
Now, we convert ( frac{1}{6} ) to twelfths:
[
frac{1}{6} = frac{2}{12}
]
Now we can subtract:
[
frac{2}{12} – frac{1}{12} = frac{1}{12}
]
So, Planet X is ( frac{1}{12} ) of a light-year farther away from Earth than Planet Y.
Answer: ( frac{1}{12} ) of a light-year.
To find out how much farther away Planet X is from Planet Y, you need to subtract the distance of Planet Y from the distance of Planet X.
1. Distance of Planet X: ( frac{1}{6} ) light-year
2. Distance of Planet Y: ( frac{1}{12} ) light-year
Step 1: Find a common denominator.
The least common multiple of 6 and 12 is 12.
Step 2: Convert the fractions.
– For Planet X:
( frac{1}{6} = frac{2}{12} ) (because ( 1 times 2 = 2 ) and ( 6 times 2 = 12 ))
– For Planet Y:
( frac{1}{12} ) remains ( frac{1}{12} ).
Step 3: Subtract the distances.
Now, subtract the distance of Planet Y from Planet X:
( frac{2}{12} – frac{1}{12} = frac{1}{12} ) light-year.
Conclusion:
Planet X is ( frac{1}{12} ) light-year farther away from Earth than Planet Y.
To find out how much farther away Planet X is compared to Planet Y, we need to subtract the distance of Planet Y from the distance of Planet X.
1. Distance of Planet X = 1/6 light-year
2. Distance of Planet Y = 1/12 light-year
To subtract these fractions, we need a common denominator. The least common multiple of 6 and 12 is 12.
Now, let’s convert both fractions:
– For Planet X:
(frac{1}{6} = frac{2}{12}) (by multiplying the numerator and denominator by 2)
– For Planet Y:
(frac{1}{12} = frac{1}{12})
Now we can perform the subtraction:
(frac{2}{12} – frac{1}{12} = frac{1}{12})
So, Planet X is (frac{1}{12}) of a light-year farther away from Planet Y.
To find out how much farther away Planet X is compared to Planet Y, we need to subtract the distance of Planet Y from the distance of Planet X.
1. Distance of Planet X: ( frac{1}{6} ) light-year
2. Distance of Planet Y: ( frac{1}{12} ) light-year
To perform the subtraction, we need a common denominator. The least common multiple of 6 and 12 is 12.
Now we will convert ( frac{1}{6} ) to a fraction with a denominator of 12:
[
frac{1}{6} = frac{2}{12}
]
So now we can subtract:
[
frac{2}{12} – frac{1}{12} = frac{1}{12}
]
Therefore, Planet X is ( frac{1}{12} ) light-year farther away from Planet Y.