Question

Express 7.478bar in the form of p by q ​

Answer 1

Answer:

7471/999

Step-by-step explanation:

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Answer 2

Answer:

6731/900

Step-by-step explanation:

We have 7.47888....

Let 7.4788... = x --------> Eq(1)

Now Multiplying both sides by 1000:

7.4788.. × 1000 = x . 1000

⇒ 7478.888.. = 1000x   -----> Eq (2)

Multiplying both sides of eq 1 by 100:

7.4788.. × 100 = x . 100

⇒ 747.8888.. = 100x   -----> Eq (3)

NOW

Subtracting Eq 3 from Eq 2

WE GET

7478.88.. - 747.88.. = 1000x - 100x

⇒ 6731.00 = 900x

⇒ x = 6731/900

Hence the required answer will be 6731/900

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