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Question

Insert two rational numbers between:

(i) 38 and 712

(ii) 13 and 14

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Solution

(i) 38 and 712

LCM of 8 and 12 is 24. Therefore,

38×33=924

712×22=1424

So, the required two rational numbers are 1124 and 1324

(ii) 13 and 14

48 is a common multiple of 3 and 4.Therefore,

13×1616=1648

14×1212=1248

So, the required two rational numbers are 1348 and 1548


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