Question

convert into rational fraction
134.45757
​

Answer 1

=134.45757

=13445757/100000

Step-by-step explanation:

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Answer 2

$\displaystyle \sf{134.45757... = \frac{44371}{330} }$

Which is a rational fraction

Correct question : Convert into rational fraction 134.45757....

Given :

The number 134.45757...

To find :

To convert into rational fraction

Solution :

Step 1 of 2 :

Write down the given number

The given number is 134.45757...

Step 2 of 2 :

Convert into rational fraction

Let x = 134.45757... - - - - - - - (1)

Multiplying both sides by 10 we get

10x = 1344.5757... - - - - - - (2)

Multiplying both sides by 100 we get

1000x = 134457.5757... - - - - - - (3)

Equation 3 - Equation 2 gives

990x = 133113

$\displaystyle \sf{ \implies x = \frac{133113 }{990} }$

$\displaystyle \sf{ \implies x = \frac{44371}{330} }$

$\displaystyle \sf{ \therefore \: \: 134.45757... = \frac{44371}{330} }$

Which is of the form p/q where p , q are integers and q ≠ 0

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