Question

Which number below represents a repeating decimal-2/3,-3/5,3/10,11/20

Answer 1

-3/5 Negatives then the rest are positives thata how you kniw thats the representative.

Answer 2

The repeating decimal number is
`-(2)/(3)=-0.666.....`

Explanation:

Given : Numbers
`-(2)/(3), -(3)/(5), (3)/(10), (11)/(20)`

To find : Which number below represents a repeating decimal ?

Solution :

To determine the repeating decimal we have to solve each fraction,

i.e. divide denominator by numerator if we get the reminder 0 it is terminating but if remainder is not zero and quotient remain same then it is repeating.

`-(2)/(3)=-0.666.....`

`-(3)/(5)=-0.6`

`(3)/(10)=0.3`

`(11)/(20)=0.55`

Therefore, The repeating decimal number is
`-(2)/(3)=-0.666.....`