Question

Express 0.254 5454 dash dash as a fraction in simplest form​

Answer 1

Answer:

$\sf{\frac{14}{55}}$

Step-by-step explanation:

here we have given that there is an bar on 54 therefore it is repeating. it mean that it will repeat infinite times.

So,

to convert it into the rational number we have to make some equation :

first,

simply our first equation is -

$\sf x=0.25454..$ ---eq I

By multiplying the equation i  by 10 we got-

$\sf10x=2.5454..$ ---eq II

multiplying by 100 this time -

$\sf100x=25.4545..$ ---eq III

multiplying by 1000 -

$\sf100x=254.5454..$ ---eq IV

subtracting :-

eq-IV  -  eq-II

$\sf254.5454..-2.5454 = 1000x-10x$

$\sf252 = 990x$

$\sf\frac{252}{990} = x$

$\sf\frac{14}{55}=x$

Answer 2

plz refer to this attachment