Question

write whether the rational number 7 by 75 will have a terminating decimal expanision or non-terminating repeating decimal expansion

Answer 1

Answer: non-terminating repeating decimal expansion
Please refer the above image for the solution.
Hope its useful.

Answer 2

Non-terminating repeating decimal expansion

$\tt{\implies\dfrac{7}{75} = 0.0933}$

Therefore we get

$\tt{\implies\dfrac{7}{75}}$

Non-terminating repeating decimal expansion