Question

Which of the following numbers can be expressed as repeating decimals? 2 over 9, 3 over 8, 5 over 6, 5 over 4

Answer 1

See the attach file for ans

Answer 2

2/9 and 5/6 can be expressed as repeating decimals.

Step-by-step explanation:

If the denominator of a rational number is $2^n\text{ or } 5^n\text{ or } 2^n5^2$, n∈N, then the rational number is terminating decimal otherwise the  rational number is non-terminating decimal.

$\frac{2}{9}=0.222...$

$\frac{3}{8}=0.375$

$\frac{5}{6}=0.833...$

$\frac{5}{4}=1.25$

Therefore, the 2/9 and 5/6 can be expressed as repeating decimals.

Learn more:

Identify the rational number that does not belong with the other three. Explain your reasoning

-5/11, -1/2, -4/9, -7/3

https://brainly.in/question/118057