kayiizayed
Answered

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0.123 (only 3 repeating) as a fraction

Sagot :

tanmayakumarp3

Answer:

[tex] \frac{1369}{11100} [/tex]

Step-by-step explanation:

Let,

x = 0.123333.....

1000x = 123.333.....

1000x = 123.21 + 0.123333..... = 123.21 + x

1000x - x = 123.21

999x = 123.21

[tex]x = \frac{123.21}{999} [/tex]

[tex]x = \frac{13.69}{111} [/tex]

[tex]x = \frac{1369}{11100} [/tex]

Hence,

0.123333333.... as a fraction will be :

[tex] \frac{1369}{11100} (ans)[/tex]

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