Question

Without actual division show that 69 75 has a terminating decimal expansion​

Answer 1

Answer:

2,5 or 7 is not a factor of 129 so the fraction is in its simplest form. But for a rational number to be terminating decimal, its decimal should be in the form (2

m

×5

n

) but here the denominator is (2

2

×5

7

×7

5

) that is why given fraction is non -terminating repeating decimal.

Answer 2

Answer:

2,5 or 7 is not a factor of 129 so the fraction is in its simplest form. For a rational number to be terminating decimal, its decimal should be in the form (2m×5n)

On the other hand, the denominator is (22×57×75), that is why 6975 is a non-terminating repeating decimal.

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