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Find two rational number between 3 …

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Find two rational number between 3 and 4

    • Posted by Faiz Faiz 3 years, 10 months ago

    CBSE > Class 09 > Mathematics
    • 3 answers

    X-O Harsh & Parveen 3 years, 10 months ago

    A rational number between 3 and 4 is 1/2 (3 + 4) = 7/2. Then, 3 < 7/2 < 4 A rational number between 3 and 7/2 = 1/2 {3 + 7/2} = 1/2 (3/1 + 7/2) = 1/2 ((6 + 7)/2) = (1/2 × 13/2) = 13/4 A rational number between 7/2 and 4 = 1/2 {7/2 + 4} = 1/2 (7/2 + 4/1) = 1/2 ((7 + 8)/2) = {1/2 × 15/2} = 15/4 Therefore, 3 < 13/4 < 7/2 < 15/4 < 4 Hence, 13/4, 7/2 and 15/4 are the three rational numbers lying between 3 and 4.

    0Thank You

    Priya Rana 3 years, 10 months ago

    A rational number between 3 and 4 is 1/2 (3 + 4) = 7/2. Then, 3 < 7/2 < 4 A rational number between 3 and 7/2 = 1/2 {3 + 7/2} = 1/2 (3/1 + 7/2) = 1/2 ((6 + 7)/2) = (1/2 × 13/2) = 13/4 A rational number between 7/2 and 4 = 1/2 {7/2 + 4} = 1/2 (7/2 + 4/1) = 1/2 ((7 + 8)/2) = {1/2 × 15/2} = 15/4 Therefore, 3 < 13/4 < 7/2 < 15/4 < 4 Hence, 13/4, 7/2 and 15/4 are the three rational numbers lying between 3 and 4.

    1Thank You

    Yogita Ingle 3 years, 10 months ago

     

    A rational number between 3 and 4 =1/2(3+4)=7/2

    Then 3<7/2<4

    A rational number between 3 and 7/2

    =1/23+7/2=1/2(3/1+72)

    =1/2 ​(6+7​)/2 =1/2+13/2=13/4

    13/4, 7/2 are two rational number between 3 and 4

    3<13/4<7/2<4.

    2Thank You

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