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Q.

What is the ascending order of fractions 3 4 , 7 8 , 11 16   and 23 32  ?


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a

11 16 < 23 32 < 3 4 < 7 8  

b

11 16 > 23 32 > 3 4 > 7 8  

c

23 32 < 3 4 < 7 8 < 11 16  

d

23 32 < 3 4 < 11 16 < 7 8   

answer is A.

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Detailed Solution

Given fractions are 3 4 , 7 8 , 11 16   and 23 32  .
Writing the given fraction into like fractions:
3 4 × 8 8 = 24 32 7 8 × 4 4 = 28 32 11 16 × 2 2 = 22 32 23 32 × 1 1 = 23 32  
Now, comparing the fraction number and write the fractions as ascending order:
  22 32 < 23 32 < 24 32 < 28 32  
So, the ascending order is 11 16 < 23 32 < 3 4 < 7 8  .
Therefore, option (1) is correct.
 
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