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CBSE Class 8 Answered

which no.lies between1/6  and 1/3  
Asked by kanikagoyal047 | 10 Jun, 2018, 07:11: PM
answered-by-expert Expert Answer
begin mathsize 16px style 1 third space and space 1 over 6 space are space two space rational space numbers. straight L. straight C. straight M left parenthesis space 3 comma space 6 right parenthesis space equals space 6 fraction numerator begin display style 1 space cross times 2 end style over denominator begin display style 3 space cross times 2 end style end fraction space equals 2 over 6 Now comma space we space have space fraction numerator begin display style 1 end style over denominator begin display style 6 end style end fraction space and space fraction numerator begin display style 2 end style over denominator begin display style 6 end style end fraction space two space rational space numbers. To space find space the space Rational space numbers space between space fraction numerator begin display style 1 end style over denominator begin display style 6 end style end fraction space and space fraction numerator begin display style 2 end style over denominator begin display style 6 end style end fraction We space will space multiply space each space of space the space numerator space and space denominator space by space 10 space or space 100 space 0 straight r space 1000.... so space on Here comma space fraction numerator begin display style 1 end style over denominator begin display style 6 end style end fraction space equals space fraction numerator begin display style 1 cross times 10 end style over denominator begin display style 6 space cross times space 10 end style end fraction equals space 10 over 60 1 third space equals space fraction numerator begin display style 2 end style over denominator begin display style 6 end style end fraction space equals space fraction numerator begin display style 2 cross times 10 end style over denominator begin display style 6 space cross times space 10 end style end fraction equals space 20 over 60 So space straight u space can space find space 9 space rational space numbers space between space fraction numerator begin display style 1 end style over denominator begin display style 6 end style end fraction space and space fraction numerator begin display style 1 end style over denominator begin display style 3 end style end fraction. and space they space are space fraction numerator begin display style 11 end style over denominator begin display style 60 end style end fraction comma fraction numerator begin display style 12 end style over denominator begin display style 60 end style end fraction comma fraction numerator begin display style 13 end style over denominator begin display style 60 end style end fraction comma fraction numerator begin display style 14 end style over denominator begin display style 60 end style end fraction comma fraction numerator begin display style 15 end style over denominator begin display style 60 end style end fraction comma fraction numerator begin display style 16 end style over denominator begin display style 60 end style end fraction comma fraction numerator begin display style 17 end style over denominator begin display style 60 end style end fraction comma fraction numerator begin display style 18 end style over denominator begin display style 60 end style end fraction fraction numerator begin display style 19 end style over denominator begin display style 60 end style end fraction. Similarly space straight u space can space find space infinitely space many space numbers space between space space fraction numerator begin display style 1 end style over denominator begin display style 6 end style end fraction space and space fraction numerator begin display style 1 end style over denominator begin display style 3 end style end fraction. end style
Answered by Yasmeen Khan | 11 Jun, 2018, 11:26: AM

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CBSE 8 - Maths
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