megsamiotis
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Investigate what happens with the “ninth” fractions.

E.g. what do you get for 1/9, 2/9, 3/9 etc.

Have you spotted a pattern?

What would 9/9 be as a decimal?

Sagot :

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.

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