Recurring Decimals to Fractions : Bar : Ex Q. 0.5(73), Q. 0.38(7), Q. 0.00(3)

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Q. 0.5(73)

Solⁿ

0.5(73) = $$0.5737373\dots$$

573−5/990 = 568/990 = 284/ 495​

Ans / উত্তৰ: 284/495

Q. 0.38(7)

Solⁿ

​0.38(7) = $$0.38777777\dots$$

387 − 38 / 900 = 349/900 = 284/ 495​

Ans / উত্তৰ: 284/495

Q. 0.00(3)

Solⁿ

​0.00(3) = $$0.333333\dots$$

3/900 = 1/300 ​

Ans / উত্তৰ: 1/300

Q. 3.(45)

Solⁿ

3.(45) = $$\mathrm{3.45454545..............}$$

345 − 3 / 99 = 342/99 = 38/11​

Ans / উত্তৰ: 38/11

Short Trick: 3*45/99 = 3*5/11 = 38/11

Q. 0.(3) + 0.(4) + 0.(5) + 0.(6) = ?

Option: A. 2   B. 4   C. 5   D. 8

Solⁿ

0.(3) + 0.(4) + 0.(5) + 0.(6) = 0.(18) = 18/9 = 2

Ans / উত্তৰ: A. 2