Given:
Fractions [tex]\dfrac{1}{9},\dfrac{2}{9},\dfrac{3}{9}[/tex] etc.
To find:
What happens with the “ninth” fractions.
Solution:
We have, the values of [tex]\dfrac{1}{9},\dfrac{2}{9},\dfrac{3}{9}[/tex] are
[tex]\dfrac{1}{9}=0.11111...[/tex]
[tex]\dfrac{2}{9}=0.22222...[/tex]
[tex]\dfrac{3}{9}=0.33333...[/tex]
Clearly we can spot a pattern, because after decimal the numerator digit of fraction is repeating.
Similarly,
[tex]\dfrac{9}{9}=0.99999...[/tex]
Therefore, the decimal value of [tex]\dfrac{9}{9}[/tex] is 0.99999..., which is approximately 1.
