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Question

Find ten rational numbers between 14 and 12.

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Solution

The L.C.M of the denominators (2 and 4) is 4.So, we can write 14 as it is.Also, 12=1×22×2=24As the integers between the numerators 1 and 2 of both the fractions are not sufficient, we will multiply the fractions by 20.14=1×204×20=208024=2×204×20=4080Between 20 and 40, there are 19 integers. They are 21, 22, 23, 24, 25, 26, 27....39, 40. Thus, 2140,2240,2340,2440,2540,...................3840 and 3940 are the fractions.We can take any 10 of these.

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