Question

What is 0.36¯¯¯¯ (Repeating) expressed as a fraction in simplest form?

Answer 1

The simplest fraction is 12/33

Given; that 0.3636... is the required number

To Find; The simplest fraction of the given number

Solution; This question can be easily solved by first letting x as the given number then multiplying it by 100, and now subtracting both the equations.

Let x= 0.363636 .....(1)

Multiply both sides by 100

100x = 36.3636  ....(2)

Subtracting equation 2 from 1

99x=36

x= 36/99=12/33

Hence the simplest fraction is 12/33

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Answer 2

Answer:

The fraction form of 0.3636... is 12/33

Step-by-step explanation:

As per the data in the question,

lets assume $x=0.3636...$......(i)

Multiply both side by 100

$100x=36.3636....$.....(ii)

Now, subtracting (i) from (ii)

$100x-x=36.3636...-0.3636....$

$99x=36\\x=36\div99$

$x=$ 12/33

Therefore, the fraction form of 0.3636... is 12/33

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