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in Number System by (64.6k points)
Find ten rational numbers between 3/5 and 3/4.

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We need to convert the given rational numbers into equivalent rational numbers with same denominators.

The LCM for 5 and 4 is 20.

3/5 = 3× 20 / 5×20 

= 60/100

3/4 = 3×25 / 4×25 

= 75/100

Here, we now know that 61, 62, 63,..74 are integers between numerators 60 and 75.

Hence, the rational numbers between 3/5 and 3/4 are 61/100, 62/100, 63/100, …., 74/100

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