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Subject :IMO    Class : Class 7

The fraction 5/8 is found between which pair of fractions on a number line?

A8 /16 and 21/32
B9/16 and 19/32
C10/16 and 24/32
D11/16 and 24/32


how do we get the answer as option A what is the solution

Ans 1:

Class : Class 7
the LCM of 8,16 and 32 is 32 5/8=20/32 8/16=16/32 21/32=21/32 therefore, 16/32<20/32>21/32 also, 8/16<5/8>21/32 therefore 5/8 is between 8/16 and 21/32

Ans 2:

Class : Class 7
5/8=10/16=20/32...so option B is out (19/32 is less than 20/32) Option C is out (10/16 is is greater than 8/16) and for same reason option D is also out So answer is option A

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