Write 2.318 (18 repeating) as a mixed fraction

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Step-by-step explanation:

Given : 2.3181818.

To find : Write as a mixed fraction.

Solution : We have given  2.3181818.

Let the number  x =  2.3181818.

Here 2 digits are repeating so we will multiply it by 100 both sides,

100 x =  2.3181818 * 100.

100 x = 231. 8181.

We can write  231. 8181 in form of x .

100 x = 229.5 + 2.31818.

100 x = 229.5 + x

On subtracting both sides by x .

100 x - x = 229.5.

99 x = 229.5

On dividing both sides by 99

x = .

x =  .

x =  .

Therefore, .

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step-by-step explanation: