Question

The fractional form of 0.24545….. is

Answer 1

Answer:

$\frac{27}{110}$

Step-by-step explanation:

Alternative method:-

0.24545........

$= \frac{245 - 2}{990}$

$= \frac{243}{990}$

$= \frac{27}{110} \: ans$

Answer 2

Step-by-step explanation:

(First solution)

Let x = 0.24545......

100x = 24.555..........-(1)

1000x = 245.555..........-(2)

substract -(1) and -(2)

1000x - 100x = 245.555........ - 24.555..........

900x = 221

x = 221/900

0.2454545 as a fraction in the simplest is 221/900.answer

(second solution)

Let x = 0.24545

10x = 2.4545..............(1)

100x = 245.4545.............(2)

subtract (1) and (2)

900x = 221

x = 221/ 900

0.245245245..............as a fraction in the simplest form is 221/900

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