# Insert two rational numbers between 3/8and 7/12

2
by e8duranjanheem

2015-12-23T07:05:59+05:30

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One rational number between 3/8 and 7/12 = [(3/8) + (7/12)]/2
=[(9+14)/24]/2    {LCM of 8 and 12 is 24}
=(23/24)/2
=23/48
Another rational number can be found between 23/48 and 7/12
=[(23/48) + (7/12)]/2
=[(23 + 28)/48]/2
=(51/48)/2
=51/96
Therefore the two rational numbers between 3/8 and 7/12 are   23/48 and 51/96
2015-12-23T07:40:40+05:30

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Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
The sophisticated way to answer such questions is make them have common denominators .

lcm of 8 and 12 is 24

multiply 3 to num and denum. so 3/8 = 9/24
multiply 2 to num and denum. so 7/12= 14/24

now ot becomes easier to find rational numbers between 9/24 and 14/24 .

Answer : 10/24 , 11/24 , 13/24 , 10.5/24 = 105/240 , 11.7/24 , etc.