Question

Represent 2.357 (whole 357bar) into rational form. ​

Answer 1

Answer:

785/333

Step-by-step explanation:

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

Let x = 0.357 bar

Multiply by 100 on both sides,

100 × x = 100 × 0.357 bar

100x = 35.7 bar

As there is one number under bar, multiply by 100 on both sides

10 × 100x = 10 × 35.7 bar

=> 1000x = 357.7 bar

Subtract 100x from both sides,

1000x = 357. 7 bar

-100x = -35.7 bar

______________

900x = 322 [bar cancel]

____________

x = 322/900

Then,

0.357 bar in p/q from is 322/900

I hope this will help you