Math, asked by sanju5191, 1 year ago

Two rational number betwèn 1/2 &1/3

Answers

Answered by Anonymous

Answer:

5/12 and 11/24 will do.

Step-by-step explanation:

For a rational number between 1/2 and 1/3, the average will do. The average of two numbers is certainly between them, and the average of rational numbers is rational. So for the first number, take

( 1/2 + 1/3 ) / 2 = ( 3/6 + 2/6 ) / 2 = ( 5 / 6 ) / 2 = 5 / 12.

For a second number, we can do the same thing again, but taking the average of 1/2 and 5/12:

( 1/2 + 5/12 ) / 2 = ( 6 / 12 + 5 / 12 ) / 2 = ( 11 / 12 ) / 2 = 11 / 24.

Anonymous: For another idea, you can use decimal expansions and recall that if the decimal expansion terminates, then the number is rational. Since 1/2 = 0.5 and 1/3 = 0.33333, two rational numbers between these could be, say, 0.4 and 0.41. The first of these is 0.4 = 4/10 = 2/5, and the second is 41/100.

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