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Maths / Rational Numbers / Rational Numbers between Two Rational Numbers
QUESTION
 

Find five rational numbers between large frac{-3}{2};and; frac{5}{3}

EXPLANATION
Explain TypeExplanation Content
Text

The LCM of denominators 2 and 3 is 6. Converting given rational numbers to equivalent rational numbers having common denominator 6, we get

large frac{-3}{2}=frac{-3X3}{2X3}=frac{-9}{6}and frac{5}{3}=frac{5X2}{3X2}=frac{10}{6}

clearly,-8,-7,----,7,8,9 are integers between numerators -9 and 10 of these equivalent rational numbers. Thus,we have

large frac{-8}{6},frac{-7}{6},frac{-6}{6},frac{-5}{6},----,frac{7}{6},frac{8}{6},frac{9}{6}

as rational numbers between large frac{-9}{6}(=frac{-3}{2})and frac{10}{6}(=frac{5}{3})

we can take any four of these as required rational numbers.

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