Question

express 3.565656..... in the form of rational number​

Answer 1

Answer:

$3.565656... = \frac{353}{99}$

Step-by-step explanation:

let

$x = 3.565656... \: \: \: \: \: eq1\\ \\ multiply \: eq1 \: by \: 100 \\ \\ 100x = 356.565656... \: \: \: \: \: eq2$

subtract eq1 from eq2

$100x - x = 356.565656... - 3.565656... \\ \\ 99x = 353 \\ \\ x = \frac{353}{99}$

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Answer 2

Rational form,p=353/99

Step-by-step explanation:

Let $p=3.\bar{56}$……….(1)

Now,multiply the above equation by 100

Therefore,100p=$356.\bar{56}$………..(2)

Now, Subtract equation (1) from (2),

99p=353

p=353/99

,is the rational form.