Question

please and for all these que​

Answer 1

1. 51/1500 = 17/500

500 = 2×2×5×5×5

= 2^2×5^3

since the denominator is in the form 2^m×5^n, the fraction has terminating decimal expansion.

2. 441/2^2×5^7×7^2

= 63 / 2^2×5^7×7

= 9 / 2^2×5^7

since the denominator is in the form 2^m×5^n, the fraction has terminating decimal expansion.

3. the condition is that the denominator should be in the form of 2^m×5^n.

Answer 2

$\sf \pmb{Answer :}$

1. 51/1500 = 17/500

500 = 2×2×5×5×5

= 2^2×5^3

since the denominator is in the form 2^m×5^n, the fraction has terminating decimal expansion.

2. 441/2^2×5^7×7^2

= 63 / 2^2×5^7×7

= 9 / 2^2×5^7

since the denominator is in the form 2^m×5^n, the fraction has terminating decimal expansion.

3. the condition is that the denominator should be in the form of 2^m×5^n.