Question & Answer

How much farther away is Planet X?

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.

4 Answers

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Quizzma TeamJanuary 19, 2025

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.

Quizzma TeamJanuary 19, 2025

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.

Quizzma TeamJanuary 19, 2025

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.

Quizzma TeamJanuary 19, 2025

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.