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Question

List five rational numbers between 12 and 23.

Solution
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Given fractions 12 & 23
Let us make denominators are equals as follow
12=1×32×3 & 23=2×23×2
12=36 & 23=46
The resultant numerators values are not sufficient to insert the the five numbers between them, so again multiply 66 to the resultant fractions to make their denominators are equal as follow.
3×66×6=1836 &
4×66×6=2436
Now, insert 5 integers between the numerators 18 and 24 as 18<19<20<21<22<23<24
Dividing 6 on both sides, we get
1836<1936<2036<2036<2136<2236<2336<2436
Therefore, the five rational numbers between the given numbers are 1936,2036,2036,2136,2236,2336

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List five rational numbers between 12 and 23.
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