insert three rational number between 2/3 and 3/5
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Answer:
Hence, three rational numbers between 2/3 and 3/5 are 19/30, 39/60 and 37/60.
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Step-by-step explanation:
three rational numbers between 2/3 and 3/5 are 19/30, 39/60 and 37/60.
We can represent a rational number between two rational numbers a and b as
(a+b)/2
Now, put a = 2/3 and b = 3/5.
/3
Then,
A rational number between 2/3 and 3/5 =
[(2/3)+(3/5)]/2 =10+9/30 =19/30
A rational number between 2/3 and 19/30
[(2/3)+(19/30)]/2 =20+19/60 =39/60
A rational number between 19/30 and 3/5 =
[(19/30)+(3/5)]/2 =19+18/60 =37/60
Hence, three rational numbers between 2/3 and 3/5 are 19/30, 39/60 and 37/60.
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