Question

Convert 4.57575757 into rational form (p/q)

Answer 1

4.57575757 into rational form (p/q) is 453/99

Given : The number 4.57575757 . . .

( Correction in the question )

To find : Convert into rational form (p/q)

Solution :

Step 1 of 2 :

Write down the given number

The given number is 4.57575757

Step 2 of 2 :

Convert into rational form (p/q)

Let x = 4.57575757 . . . - - - - - - (1)

Multiplying both sides by 100 we get

100x = 457.575757 . . . - - - - - - (2)

Equation 2 - Equation 1 gives

99x = 453

$\displaystyle \sf{ \implies x = \frac{453}{99} }$

Thus we get

$\displaystyle \sf{ \implies 4.57575757. \: . \: . = \frac{453}{99} }$

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