Find five rational numbers between 3/5 and 4/5 .
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Answer:
19/5, 20/5, 21/5, 22/5, 23/5,
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mber 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,
3/5
=3×6/5×6
=18/30 and 4/5
=4×6/5×6
=24/30
Now, we have to find 5 rational numbers between 18/30 and 24/30, which will come as
(19/30),(20/30 ),(21/30),(22/30),(23/30)=(19/3),(2×10/3×10),(7×3/10×3),(11×2/15×2),(23/30)=(19/30),(2/3),(7/10),(11/15) and (23/30)
Thus, five rational numbers between 3/5 and 4/5 are =(19/30),(2/3),(7/10),(11/15) and ( 23/30)
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