Question

the rational number which is equal to number 2.357 bar which reoccurring decimal is​

Answer 1

Step-by-step explanation:

785/333

The rational number which equals to the number 2.357 with recurring decimal is

Let say x = 2.357 bar ( bar on .357)

Multiplying by 1000

1000x = 2357.357 bar ( bar on .357)

1000x - x = 2357.357 bar - 2.357 bar

=> 999x = 2355

=> x = 2355/999

=> x = 785/333

785/333 is The rational number which equals to the number 2.357 with recurring decimal

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Answer 2

${\orange{\underline{\underline{\bf{\bigstar Solution : }}}}}$

2.357 bar on 357

= 2 + $\frac{ 357}{999}$

= $\frac{ 2 × 999 + 357}{999}$

= $\frac{ 1998 + 357}{999}$

= $\frac{ 2355}{999}$

= $\frac{ 785}{333}$

${\green{\underline{\underline{\bf{\bigstar Answer : \frac{785}{333}}}}}}$