You know that `1/7=0. bar 142857`Can you predict what the decimal expansion of `2/7,3/7,4/7,5/7,6/7`are, without actually doing the long division? If so, how? [Hint: Study the remainders while finding the value of `1/7`carefully.]

Answer

N/a

Explanation

`(1)/(7)=0.bar(142857)`
`:." "(2)/(7)=2xx(1)/(7)=2xx0.bar(142857)=0.bar(285714)`
`" "(3)/(7)=3xx(1)/(7)=3xx0.bar(142857)=0.bar(428571)`
`" "(4)/(7)=4xx(1)/(7)=4xx0.bar(142857)=0.bar(571428)`
`" "(5)/(7)=5xx(1)/(7)=5xx0.bar(142857)=0.bar(714285)`
`" "(6)/(7)=6xx(1)/(7)=6xx0.bar(142857)=0.bar(857142)`