Question

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with Full solution
the decimal expansion of the rational number 33/2n×5 will terminate after​

Answer 1

Answer:

2

n

5

−

n

6

To write

2

n

5

as a fraction with a common denominator, multiply by

6

6

.

2

n

5

⋅

6

6

−

n

6

To write

−

n

6

as a fraction with a common denominator, multiply by

5

5

.

2

n

5

⋅

6

6

−

n

6

⋅

5

5

Write each expression with a common denominator of

30

, by multiplying each by an appropriate factor of

1

.

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2

n

⋅

6

30

−

n

⋅

5

30

Combine the numerators over the common denominator.

2

n

⋅

6

−

n

⋅

5

30

Simplify the numerator.

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n

⋅

7

30

Move

7

to the left of

n

.

7

n

30