Answer:
The repeating decimal number is [tex]-\frac{2}{3}=-0.666.....[/tex]
Step-by-step explanation:
Given : Numbers [tex]-\frac{2}{3}, -\frac{3}{5}, \frac{3}{10}, \frac{11}{20}[/tex]
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.
[tex]-\frac{2}{3}=-0.666.....[/tex]
[tex]-\frac{3}{5}=-0.6[/tex]
[tex]\frac{3}{10}=0.3[/tex]
[tex]\frac{11}{20}=0.55[/tex]
Therefore, The repeating decimal number is [tex]-\frac{2}{3}=-0.666.....[/tex]
