Question

Select all the fractions that are represented by a repeating decimal. 2 A

Answer 1

A, E and F

Step-by-step explanation

A repeating decimal (also known as a recurring decimal) is a decimal in which its digits are infinite or infinitely repeated.

This means that it does not have an end.

To identify the repeating decimals, we have to convert each fraction to a decimal.

`\begin{gathered} A\text{. }(2)/(9)\text{ = }0.222222\ldots \\ B\text{. }(7)/(16)=\text{ }0.4375 \\ C\text{. }(8)/(25)\text{ = }0.32 \\ D\text{. }(9)/(20)\text{ = }0.45 \\ E\text{. }(4)/(15)\text{ = }0.26666\ldots \\ F.\text{ }(7)/(11)\text{ = }0.6363636\ldots \end{gathered}`

The correct options are A, E and F.