Question

without actual division, prove that 783/1080 is terminating or non terminating​

Answer 1

For a fraction to be terminating, it must have the factors of only 2 and/or 5.

So, we'll check for the denominator i.e. 1080.

By factorisation:

1080 = 2×2×2×3×3×3×5

We see that 1080 has the factors of 2,5&3.

So, 783/1080 is not a terminating fraction.

Hope it helps✌