Respuesta :

jenhaemmerle
24/99           So 1000x = 234.234234234….

So now just take x away from 1000x  999x = 234.234234234… – 0.234234234… = 234 999x = 234 So x = 234/999 Simplify it down. for example x = 26/11  recurring bit doesn’t come directly after the decimal but its a bit harder.
               

MrRoyal

A repeating decimal is a decimal that has reoccurring numbers in a particular sequence.

The fraction in the simplest form is 8/33

The decimal is given as:

[tex]Decimal = 0.242424....[/tex]

The repeating numbers in the decimal are 2 and 4.

So, we express the number as follows (as a fraction)

[tex]Fraction = \frac{24}{100}[/tex]

Subtract 1 from the denominator

[tex]Fraction = \frac{24}{100 -1}[/tex]

[tex]Fraction = \frac{24}{99}[/tex]

Reduce the fraction by dividing the numerator and the denominator by 3

[tex]Fraction = \frac{24/3}{99/3}[/tex]

Simplify

[tex]Fraction = \frac{8}{33}[/tex]

Hence, the fraction is 8/33

Read more about repeating decimals at:

https://brainly.com/question/12453251

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