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Find 5 rational numbers between1 and …

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Find 5 rational numbers between1 and 2 . Also define rational number?

Posted by Sonu Ahlawat Sonu Ahlawat 4 years, 3 months ago

CBSE > Class 09 > Mathematics

1 answers

Yogita Ingle 4 years, 3 months ago

The rational number between a and b is (a + b)/2
Hence rational number between 1 and 2 is (1+2)/2 = 3/2
Rational number between 1 and 3/2 is [1+(3/2)]/2 = 5/4
Rational number between 1 and 5/4 is [1+(5/4)]/2 = 9/8
Rational number between 3/2 and 2 is [(3/2) + 2]/2 = 7/4
Rational number between 7/4 and 2 is [(7/4) + 2]/2 = 15/8
Therefore five rational numbers between 1 and 2 are 9/8, 5/4, 3/2, 7/4

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