Question

ratonal numbers between -15/35 and -12/12​

Answer 1

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To find rational numbers between $\frac{-15}{35}\:and\:\frac{-12}{12}$ we have to make the denominators of rational numbers equal. For making them equal we have to find LCM.

LCM = 420.

$\frac{ - 15}{35} \times \frac{12}{12} = \frac{ - 180}{420} \\ \frac{ - 12}{12} \times \frac{35}{35} = \frac{ - 420}{420} \\ \frac{ - 180}{420} and \: \frac{ - 420}{420}$

Now we can find the rational numbers between $\frac{-180}{420} \:and \: \frac{-420}{420}$

Rational Numbers are - $\frac{-181}{420},\frac{-182}{420},\frac{-183}{420},...,\frac{-417}{420},\frac{-418}{420} and \frac{-419}{420}$