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Find rational number between 1/2 and …

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Find rational number between 1/2 and 1/4
  • 3 answers

Rudra Prasad Choudhury 5 years, 2 months ago

3/4

Everything Here 5 years, 2 months ago

1/4 = 1/4 1/2 = (1×2)/4 = 2/4 1/4 = (1×20 / 4×20) = 20/80 1/2 = (2×20 / 4×20) = 40/80 Here, we now know that 21, 22, 23,…39 are integers between numerators 20 and 40. Hence the rational numbers between 1/4 and 1/2 are 21/80, 22/80, 23/80, …., 39/80

Gaurav Seth 5 years, 2 months ago

As we know that the L.C.M for 4 and 2 is 4

Now,

1/4 = 1/4

1/2 = (1×2)/4 

= 2/4

1/4 = (1×20 / 4×20)

= 20/80

1/2 = (2×20 / 4×20) 

= 40/80

Here, we now know that 21, 22, 23,…39 are integers between numerators 20 and 40.

Hence the rational numbers between 1/4 and 1/2 are 21/80, 22/80, 23/80, …., 39/80

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