Question

Without performing the long division, whether the rational number 833/

2^2 5^5 7^2 will have a

terminating decimal expansion or a non- terminating repeating decimal expansion​

Answer 1

833/2^2,5^5,7^2

=833/2^2,5^5,7×7

=119/2^2,5^5,7

=17/2^2,5^5

it's non terminating decimal expansion because the denominator is in the form of 2×5