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Q.

The standard form of rational number 91 −78   is:


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a

−5 6  

b

−7 6  

c

−3 6  

d

−9 6    

answer is B.

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Detailed Solution

Given a rational number 91 −78  .
If H.C.F. of numerator and denominator is only 1 such that the denominator is always positive, then the rational number is said to be in standard form.
Finding the H.C.F of numerator and denominator,
Prime factors of 91 and 78,
91=7×13  
78=2×3×13   H.C.F = 13
Now, dividing and multiplying by 13
= −91 78 × 13 13 = −7 6  
Standard form is −7 6  .
Hence, option 2 is correct.
 
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