Question

An irrational number between 1/11 and 3/11

Answer 1

• First convert the fractions into decimals
• 1/11 = 0.090909.....
• 3/11 = 0.272727......
• Now try to find a decimal which is greater than 0.0909...., and less than 0.2727....
• Here we can find that 0.1 is such a decimal
• Now put any numbers after this decimal so that it will be non- terminating and non- repeating.
• For example: 0.101001000100001.......
• In this example the decimal is not ending or not terminating and also not repeating a same number or it is non- repeating
• So the irrational number between 1/11 and 3/11 is 0.101001000.......

hope it helps you

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