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ICSE Class 9 Answered

Insert two rational number between:  (i) 3 and 4       
Asked by Topperlearning User | 26 Jul, 2017, 10:24: AM
answered-by-expert Expert Answer

(i) 3 and one rational number between 3 and 4 is

Other rational number is

 

 other rational number between 3 and 4 is

 3 < 3.25 < 3.5 < 4


 (ii) begin mathsize 12px style 1 third space and space 1 fourth end style

 begin mathsize 12px style One space rational space number space between space 1 third space and space 1 fourth space is end style

 Other rational number is

begin mathsize 12px style fraction numerator begin display style 1 third plus 1 fourth end style over denominator 2 end fraction
equals 7 over 12 cross times fraction numerator begin display style 1 end style over denominator 2 end fraction
equals 7 over 24 end style

begin mathsize 12px style One space rational space number space between space 1 third space and space 7 over 24 space is end style

  begin mathsize 12px style fraction numerator begin display style 1 third plus 7 over 24 end style over denominator 2 end fraction
equals open parentheses fraction numerator 8 plus 7 over denominator 24 end fraction close parentheses cross times 1 half
equals 15 over 48
equals 5 over 16 end style

 begin mathsize 12px style Two space rational space numbers space between space 1 third space and space 1 fourth space are end style

begin mathsize 12px style 1 third less than 5 over 16 less than 7 over 24 less than 1 fourth end style

 

Answered by | 26 Jul, 2017, 12:24: PM
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