Q.

Express 2 5 12   in its decimal form and select the option which represents the same.


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a

2.41 6 ¯  

b

2.4 16 ¯  

c

2. 416 ¯  

d

None of these 

answer is A.

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Detailed Solution

We are given a mixed fraction as follows, 2 5 12  .
So, first we rewrite the fraction as a proper fraction as follows,
2 5 12 = 29 12  .
Now, to convert it into decimal form, we use the long division method and divide the numerator by the denominator.
Question ImageSo, it can be observed that the remainder 8 is repeating itself.
So, 2.41666.....   is therefore a recurring decimal.
So, we can rewrite the quotient as follows,
2.41666.....=2.41 6 ¯  .
Thus, the decimal form of 2 5 12   is obtained as 2.41 6 ¯  .
Hence, the correct option is (1).
 
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