Question

express 23.434343....... in form of p/q where p and q are integers.
pls solve this soon......

Answer 1

Let x = 23.434343...

100x = 100 × 23.434343... = 2343.434343...


100x - x = 2343.434343... - 23.434343...

=> 99x = 2320

=> x = 2320/99

Hence, in p/q form, 23.434343... = 2320/99

Answer 2

Answer:

23.434343.......  =  $\frac{2320}{99}$

Step-by-step explanation:

Given,

The decimal number 23.434343.......

To find,

Express the given decimal number in $\frac{p}{q}$ form p and q are integers

Solution:

Let x =  23.434343.......  -----------(1)

100x = 2343.4343....... -----------(2)

Subtracting (1) from (2) we get,

100x - x = 2343.4343.... - 23.4343......

99x = 2320

x = $\frac{2320}{99}$

23.434343.......  =  $\frac{2320}{99}$

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