Find 5 rational numbers between by
5 and 5 by 12 using L.M.C method
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Number System
Exercise 1.1 Part 2
Question 3: Find five rational numbers between 3/5 and 4/5.
Answer: First method to find rational number between two numbers:
Since we have to find 5 rational numbers between 3/5 and 4/5, so we will mutiply the numerator and denominator of the given numbers by 5+1, i.e. equal to 6.
We get,
35=3×65×6=1830 and 45=4×65×6=2430
Now, we have to find 5 rational numbers between 18/30 and 24/30, which will come as
(1930),(2030),(2130),(2230),(2330)
=(193),(2×103×10),(7×310×3),(11×215×2),(2330)
=(1930),(23),(710),(1115) and (2330)
Thus, five rational numbers between 3/5 and 4/5 are =(1930),(23),(710),(1115) and
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